 # figurate number

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figurate number - a number that can be represented by a regular geometrical arrangement of equally spaced points. If the arrangement forms a regular polygon, the number is called a polygonal.

π Digits
Free π Digits Calculator - Calculates PI (π) to a set number of decimal places using the Gauss-Legendre Algorithm.

1 Die Roll
Free 1 Die Roll Calculator - Calculates the probability for the following events in the roll of one fair dice (1 dice roll calculator or 1 die roll calculator):
* Probability of any total from (1-6)
* Probability of the total being less than, less than or equal to, greater than, or greater than or equal to (1-6)
* The total being even
* The total being odd
* The total being a prime number
* The total being a non-prime number
* Rolling a list of numbers i.e. (2,5,6)
* Simulate (n) Monte Carlo die simulations.
1 die calculator

1089 Number Trick
Free 1089 Number Trick Calculator - Demonstrates the 1089 number trick for a 3 digit number that you enter

2 dice roll
Free 2 dice roll Calculator - Calculates the probability for the following events in a pair of fair dice rolls:
* Probability of any sum from (2-12)
* Probability of the sum being less than, less than or equal to, greater than, or greater than or equal to (2-12)
* The sum being even
* The sum being odd
* The sum being a prime number
* The sum being a non-prime number
* Rolling a list of numbers i.e. (2,5,6,12)
* Simulate (n) Monte Carlo two die simulations. 2 dice calculator

2 number Word Problems
Free 2 number Word Problems Calculator - This calculator handles word problems in the format below:
* Two numbers have a sum of 70 and a product of 1189 What are the numbers?
* Two numbers have a sum of 70. Their difference 32

Free Additive Inverse Property Calculator - Demonstrates the Additive Inverse property using a number. A + (-A) = 0 Numerical Properties

Antilog
Free Antilog Calculator - Calculates the antilog of a number using a base.

Automorphic Number
Free Automorphic Number Calculator - This calculator determines the nth automorphic number

Babylonian Method
Free Babylonian Method Calculator - Determines the square root of a number using the Babylonian Method.

Basic Statistics
Free Basic Statistics Calculator - Given a number set, and an optional probability set, this calculates the following statistical items:
Expected Value
Mean = μ
Variance = σ2
Standard Deviation = σ
Standard Error of the Mean
Skewness
Mid-Range
Average Deviation (Mean Absolute Deviation)
Median
Mode
Range
Pearsons Skewness Coefficients
Entropy
Upper Quartile (hinge) (75th Percentile)
Lower Quartile (hinge) (25th Percentile)
InnerQuartile Range
Inner Fences (Lower Inner Fence and Upper Inner Fence)
Outer Fences (Lower Outer Fence and Upper Outer Fence)
Suspect Outliers
Highly Suspect Outliers
Stem and Leaf Plot
Ranked Data Set
Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range
Root Mean Square
Weighted Average (Weighted Mean)
Frequency Distribution
Successive Ratio

Bernoulli Trials
Free Bernoulli Trials Calculator - Given a success probability p and a number of trials (n), this will simulate Bernoulli Trials and offer analysis using the Bernoulli Distribution. Also calculates the skewness, kurtosis, and entropy

Binomial Distribution
Free Binomial Distribution Calculator - Calculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis.
Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor
Calculates moment number t using the moment generating function

Bit Shifting
Free Bit Shifting Calculator - Performs a bit shift left or a bit shift right on a decimal or binary number

Bitwise Operations
Free Bitwise Operations Calculator - Performs bitwise operations between two decimal or binary numbers:
* Bitwise OR
* Bitwise AND
* Bitwise XOR

Also performs Bitwise NOT on 1 number

Blackjack Card Counting
Free Blackjack Card Counting Calculator - This calculator allows you to enter a number of players with one deck of cards by simulating an opening blackjack deal using card counting methods.

Braille Translator
Free Braille Translator Calculator - Given a phrase with letters, numbers, and most punctuation symbols, the calculator will perform the following duties:
1) Translate that phrase to Braille
2) Calculate the number of dots in the message
3) Calculate the number of empty spaces in the message

Ceiling
Free Ceiling Calculator - Calculates the ceiling of a number

Circular Permutation
Free Circular Permutation Calculator - Calculates the following:
Number of ways to arrange n distinct items arranged on a circle

Collatz Conjecture
Free Collatz Conjecture Calculator - Takes any natural number using the Collatz Conjecture and reduces it down to 1.

Comparison of Numbers
Free Comparison of Numbers Calculator - Compares two numbers and checks to see if they are equal to one another, if the first number is greater than the second number, or the first number is less than the second number. Minimum and maximum.

Complex Number Operations
Free Complex Number Operations Calculator - Given two numbers in complex number notation, this calculator:
1) Adds (complex number addition), Subtracts (complex number subtraction), Multiplies (complex number multiplication), or Divides (complex number division) any 2 complex numbers in the form a + bi and c + di where i = √-1.
2) Determines the Square Root of a complex number denoted as √a + bi
3) Absolute Value of a Complex Number |a + bi|
4) Conjugate of a complex number a + bi

Composite Number
Free Composite Number Calculator - This calculator determines the nth composite number. Helps you generate composite numbers.

Compound Interest and Annuity Table
Free Compound Interest and Annuity Table Calculator - Given an interest rate (i), number of periods to display (n), and number of digits to round (r), this calculator produces a compound interest table. It shows the values for the following 4 compound interest annuity functions from time 1 to (n) rounded to (r) digits:
vn
d
(1 + i)n
an|
sn|
än|i
sn|i
Force of Interest δn

Consecutive Integer Word Problems
Free Consecutive Integer Word Problems Calculator - Calculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.

Counting
Free Counting Calculator - Counts up from a number to another number using a factor
Counts down from one number to another number using a factor. Also known as skip counting.

Counting on a Number Line
Free Counting on a Number Line Calculator - Shows addition or subtraction by moving left or right on a number line.

Date Information
Free Date Information Calculator - This calculator takes a date in mm/dd/yyyy format, and gives the following information about it:
* Weekday
* Day number in the year
* Week number in the year
* Number of days in the month containing that date
* Leap Year (Yes or No)
* Zodiac Sign
* Julian Date

Decagonal Number
Free Decagonal Number Calculator - This calculator determines the nth decagonal number

Decompose Number Pairs
Free Decompose Number Pairs Calculator - Decomposes a number into number pairs of sums.

Derangements - Subfactorials
Free Derangements - Subfactorials Calculator - Calculates the number of derangements/subfactorial !n.

Digit Product
Free Digit Product Calculator - Calculates a digit product for a number.

Digit Sum
Free Digit Sum Calculator - Calculates a digit sum and reduced digit sum for a number.

Divisibility
Free Divisibility Calculator - Shows the divisibility of a number by seeing if it is divisible by (2,3,4,5,6,7,8,9,10,11)

Estimate Square Roots
Free Estimate Square Roots Calculator - Estimates the square root of a number

Expanded Notation
Free Expanded Notation Calculator - Writes the expanded notation for a number.

Factorials
Free Factorials Calculator - Calculates the following factorial items:
* A factorial of one number such as n!
* A factorial of a numerator divided by a factorial of a denominator such as n!m!/a!b!
* Double Factorials such as n!!
* Stirlings Approximation for n!

Factoring and Root Finding
Free Factoring and Root Finding Calculator - This calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:
* Difference of Squares
* Sum of Cubes
* Difference of Cubes
* Binomial Expansions
* Factor by Grouping
* Common Term
This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots
* Factors and simplifies Rational Expressions of one fraction
* Determines the number of potential positive and negative roots using Descarte’s Rule of Signs

Factorization
Free Factorization Calculator - Given a positive integer, this calculates the following for that number:
1) Factor pairs and prime factorization and prime power decomposition
2) Factors and Proper Factors 3) Aliquot Sum

Fermats Little Theorem
Free Fermats Little Theorem Calculator - For any integer a and a prime number p, this demonstrates Fermats Little Theorem.

Fibonacci Sequence
Free Fibonacci Sequence Calculator - Generates a list of the first 100 Fibonacci numbers. Also shows how to generate the nth Fibonacci number using Binet's Formula

Find two numbers word problems
Free Find two numbers word problems Calculator - Given two numbers with a sum of s where one number is n greater than another, this calculator determines both numbers.

Floor
Free Floor Calculator - Determines the floor of a number

Fundamental Rule of Counting
Free Fundamental Rule of Counting Calculator - Given a set of items, this calculates the total number of groups/choices that can be formed using the rule of product.

Geometric Distribution
Free Geometric Distribution Calculator - Using a geometric distribution, it calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness, and kurtosis.
Calculates moment number t using the moment generating function

Grand Mean
Free Grand Mean Calculator - Calculates the grand mean of a set of number sets.

Heptagonal Number
Free Heptagonal Number Calculator - This calculator determines the nth heptagonal number

Hexagonal Number
Free Hexagonal Number Calculator - This calculator determines the nth hexagonal number

Imaginary Numbers
Free Imaginary Numbers Calculator - Calculates the imaginary number i where i = √-1 raised to any integer power as well as the product of imaginary numbers of quotient of imaginary numbers

Inclusive Number Word Problems
Free Inclusive Number Word Problems Calculator - Given an integer A and an integer B, this calculates the following inclusive word problem questions:
1) The Average of all numbers inclusive from A to B
2) The Count of all numbers inclusive from A to B
3) The Sum of all numbers inclusive from A to B

Index Form
Free Index Form Calculator - Writes a number using index form notation

Int Function
Free Int Function Calculator - Determines the integer of a number

Lagrange Four Square Theorem (Bachet Conjecture)
Free Lagrange Four Square Theorem (Bachet Conjecture) Calculator - Builds the Lagrange Theorem Notation (Bachet Conjecture) for any natural number using the Sum of four squares.

Letter Arrangements in a Word
Free Letter Arrangements in a Word Calculator - Given a word, this determines the number of unique arrangements of letters in the word.

Logarithms and Natural Logarithms and Eulers Constant (e)
Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following:
* Takes the Natural Log base e of a number x Ln(x) → logex
* Raises e to a power of y, ey
* Performs the change of base rule on logb(x)
* Solves equations in the form bcx = d where b, c, and d are constants and x is any variable a-z
* Solves equations in the form cedx=b where b, c, and d are constants, e is Eulers Constant = 2.71828182846, and x is any variable a-z
* Exponential form to logarithmic form for expressions such as 53 = 125 to logarithmic form
* Logarithmic form to exponential form for expressions such as Log5125 = 3

Morse Code Translator
Free Morse Code Translator Calculator - Given a phrase with letters, numbers, and most punctuation symbols, the calculator will perform the following duties:
1) Translate that phrase to Morse Code.
2) Translate the Morse Code to a Dit-Dah message
3) Calculate the number of dots in the message
4) Calculate the number of dashes in the message

This also translates from Morse Code back to English.

Multiplicative Identity Property
Free Multiplicative Identity Property Calculator - Demonstrates the Multiplicative Identity property using a number. Numerical Properties

Multiplicative Inverse Property
Free Multiplicative Inverse Property Calculator - Demonstrates the Multiplicative Inverse property using a number. Numerical Properties

N-Grams
Free N-Grams Calculator - Takes a phrase and displays chracter unigrams, character bigrams, character trigrams, and character n-grams as well as word unigrams, word bigrams, word trigrams, and word n-grams. (ngrams)
Also performs frequency analysis (number of instances of each letter)

Nonagonal Number
Free Nonagonal Number Calculator - This calculator determines the nth nonagonal number

Number Bonds
Free Number Bonds Calculator - Adds or subtracts 2 numbers and using grouping by 10 or 100. Also called number bonds or addition facts. Multiplies two numbers using tape diagrams.

Number Information
Free Number Info Calculator - Calculates number info for a positive integer

Number Line
Free Number Line Calculator - Counts from a point going left and right on a number line

Number Line Midpoint
Free Number Line Midpoint Calculator - Calculates a midpoint between 2 points on a number line or finds the second endpoint if one endpoint and midpoint are given.

Number Property
Free Number Property Calculator - This calculator determines if an integer you entered has any of the following properties:
* Even Numbers or Odd Numbers (Parity Function or even-odd numbers)
* Evil Numbers or Odious Numbers
* Perfect Numbers, Abundant Numbers, or Deficient Numbers
* Triangular Numbers
* Prime Numbers or Composite Numbers
* Automorphic (Curious)
* Undulating Numbers
* Square Numbers
* Cube Numbers
* Palindrome Numbers
* Repunit Numbers
* Apocalyptic Power
* Pentagonal
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Catalan
* Repunit

Octagonal Number
Free Octagonal Number Calculator - This calculator determines the nth octagonal number

Opposite Numbers
Free Opposite Numbers Calculator - Given a positive or negative integer (n), this calculates the opposite number of n

Ordinal Number
Free Ordinal Number Calculator - This calculator determines the ordinal number of an integer

Pentagonal Number
Free Pentagonal Number Calculator - This calculator determines the nth pentagonal number

Percentage-Decimal-Fraction Relations
Free Percentage-Decimal-Fraction Relations Calculator - Calculates the relational items between a fraction, a decimal (including repeating decimal and terminating decimal), a percentage, and the numerator and denominator piece of that fraction. Also calculates the percentage change going from one number to another or the amount increase or decrease of a percentage above/below a number. Round decimals. decimals into fractions

Permutations and Combinations
Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = nPr
Number of combination(s) of n items arranged in r unique ways = nCr including subsets of sets

Phone Number Translator
Free Phone Number Translator Calculator - Given a phone number with letters in it, this calculator will determine the numeric phone number for you to dial.

Place Value
Free Place Value Calculator - Given a whole number or a decimal, the calculator will perform place number analysis on each place in your number.
For the whole and decimal portion, the calculator goes out to the 100 trillion mark.

Poisson Distribution
Free Poisson Distribution Calculator - Calculates the probability of 3 separate events that follow a poisson distribution.
It calculates the probability of exactly k successes P(x = k)
No more than k successes P (x <= k)
Greater than k successes P(x >= k)
Each scenario also calculates the mean, variance, standard deviation, skewness, and kurtosis.
Calculates moment number t using the moment generating function

Polygons
Free Polygons Calculator - Using various input scenarios of a polygon such as side length, number of sides, apothem, and radius, this calculator determines Perimeter or a polygon and Area of the polygon. This also determines interior angles of a polygon and diagonals of a polygon as well as the total number of 1 vertex diagonals.

Powers Of
Free Powers Of Calculator - Determines the powers of a number from 1 to n.

Predecessor
Free Predecessor Calculator - Calculates the predecessor number to a given number

Primitive Root
Free Primitive Root Calculator - Given a prime number p and a potential root of b, this determines if b is a primitive root of p.

Random Number Generator
Free Random Number Generator Calculator - This program generates (n) random numbers between a set of values you specify.
Example: Generate 5 random numbers between 0 and 100.

Ratio Word Problems
Free Ratio Word Problems Calculator - Solves a ratio word problem using a given ratio of 2 items in proportion to a whole number.

Rational Number Subtraction
Free Rational Number Subtraction Calculator - Subtracting 2 numbers, this shows an equivalent operations is adding the additive inverse. p - q = p + (-q)

Rational Numbers
Free Rational Numbers Calculator - This lesson walks you through what rational numbers are, how to write rational numbers, rational number notation, and what's included in rational numbers

Rational,Irrational,Natural,Integer Property
Free Rational,Irrational,Natural,Integer Property Calculator - This calculator takes a number, decimal, or square root, and checks to see if it has any of the following properties:
* Integer Numbers
* Natural Numbers
* Rational Numbers
* Irrational Numbers Handles questions like: Irrational or rational numbers Rational or irrational numbers rational and irrational numbers Rational number test Irrational number test Integer Test Natural Number Test

Rectangular Number
Free Rectangular Number Calculator - This calculator determines the nth rectangular number

Reflexive Property
Free Reflexive Property Calculator - Demonstrates the reflexive property of congruence using a number. Numerical Properties

Roman Numeral Conversions
Free Roman Numeral Conversions Calculator - Converts a Positive integer less than 4000 to a Roman Numeral.
Converts a Roman Numeral with a positive value less than 4000 to a number.

Roulette Cumulative Betting
Free Roulette Cumulative Betting Calculator - This calculator displays the probability and return grid for a roulette scenario where you play x games, betting y per number playing z numbers per game.

Rounding
Free Rounding Calculator - Rounds a number to the nearest number of your choice

Rounding to Decimal Places
Free Rounding to Decimal Places Calculator - Rounds a number to a select number of decimal places

Scientific Notation
Free Scientific Notation Calculator - * Converts a number into scientific notation and determines order of magnitude
* converts scientific notation to a number (standard notation). Also handles scientific notation operations.

Set Notation
Free Set Notation Calculator - Given two number sets A and B, this determines the following:
* Union of A and B, denoted A U B
* Intersection of A and B, denoted A ∩ B
* Elements in A not in B, denoted A - B
* Elements in B not in A, denoted B - A
* Symmetric Difference A Δ B
* The Concatenation A · B
* The Cartesian Product A x B
* Cardinality of A = |A|
* Cardinality of B = |B|
* Jaccard Index J(A,B)
* Jaccard Distance Jσ(A,B)
* Dice's Coefficient
* If A is a subset of B
* If B is a subset of A

Sieve of Eratosthenes
Free Sieve of Eratosthenes Calculator - Using the Sieve of Eratosthenes algorithm, this will show how many prime numbers are less than a number (n).

Sign Test
Free Sign Test Calculator - This will determine whether to accept or reject a null hypothesis based on a number set, mean value, alternative hypothesis, and a significance level using the Sign Test.

Square Number
Free Square Number Calculator - This calculator determines the nth square number

Square Roots and Exponents
Free Square Roots and Exponents Calculator - Given a number (n), or a fraction (n/m), and/or an exponent (x), or product of up to 5 radicals, this determines the following:
* The square root of n denoted as √n
* The square root of the fraction n/m denoted as √n/m
* n raised to the xth power denoted as nx (Write without exponents)
* n raised to the xth power raised to the yth power denoted as (nx)y (Write without exponents)
* Product of up to 5 square roots: √abcde
* Write a numeric expression such as 8x8x8x8x8 in exponential form

Static Determinacy and Stability
Free Static Determinacy and Stability Calculator - Given a number of joints (j) and a number of members (m), this determines if a truss is statically determinate, statically indeterminate, or unstable

Successor
Free Successor Calculator - Calculates the successor number to a given number

Sum of Five Consecutive Integers
Free Sum of Five Consecutive Integers Calculator - Finds five consecutive integers, if applicable, who have a sum equal to a number. Sum of 5 consecutive integers

Sum of Four Consecutive Integers
Free Sum of Four Consecutive Integers Calculator - Finds four consecutive integers, if applicable, who have a sum equal to a number. Sum of 4 consecutive integers

Sum of Three Consecutive Integers
Free Sum of Three Consecutive Integers Calculator - Finds three consecutive integers, if applicable, who have a sum equal to a number. Sum of 3 consecutive integers

Symmetric Property
Free Symmetric Property Calculator - Demonstrates the Symmetric property using a number. Numerical Properties

T-Bill
Free T-Bill Calculator - Calculates any of the four items of the T-Bill (Treasury Bill or TBill) formula:
1) Price (P)
2) Face Value (F)
3) Number of Weeks (w)
4) Yield Rate (y)

Ten Frame
Free Ten Frame Calculator - Builds a ten frame (dot card) for a number and shows numbers more and less.

Transitive Property of Equality
Free Transitive Property of Equality Calculator - Demonstrates the Transitive property of equality using a number. Numerical Properties

Triangular Number
Free Triangular Number Calculator - This calculator determines the nth triangular number. Generates composite numbers.

Trimmed Mean and Winsorized Mean
Free Trimmed Mean and Winsorized Mean Calculator - Given a number set and a trimmed mean percentage, this will calculate the trimmed mean (truncated mean) or winsorized mean.

Truncate
Free Truncate Calculator - Truncates a number to a specified number of decimal places. Truncates decimals.

Typing Speed
Free Typing Speed Calculator - Solves for words per minute, number of words typed, errors, or number of minutes typing based on user entry.

Uniform Distribution
Free Uniform Distribution Calculator - This calculates the following items for a uniform distribution
* Probability Density Function (PDF) ƒ(x)
* Cumulative Distribution Function (CDF) F(x)
* Mean, Variance, and Standard Deviation
Calculates moment number t using the moment generating function

Unknown Number
Free Unknown Number Calculator - Determines the unknown number needed to make an equation true.

Walking Distance (Pedometer)
Free Walking Distance (Pedometer) Calculator - Given a number of steps and a distance per stride in feet, this calculator will determine how far you walk in other linear measurements.

Word Notation
Free Word Notation Calculator - Calculates the following:
* The word notation of a number of numeric expression

Zero Multiplication Property
Free Zero Multiplication Property Calculator - Demonstrates the Zero Multiplication property using a number. Also called the Zero Product Property. Numerical Properties