Since 45 ≥ 0 and it is an integer 45 is a positive number
Whole Number Test:
Positive numbers including 0 with no decimal or fractions
Since 45 ≥ 0 and it is an integer 45 is a whole number
Prime or Composite Test:
Since 45 has divisors other than 1 and itself it is a composite number
Calculate divisor sum D If D = N, then it's perfect If D > N, then it's abundant If D < N, then it's deficient Divisor Sum = 1 + 3 + 5 + 9 + 15 Divisor Sum = 33 Since our divisor sum of 33 < 45 45 is a deficient number!
Odd or Even Test (Parity Function):
A number is even if it is divisible by 2 If not divisible by 2, it is odd
Since 22.5 is not an integer, 45 is not divisible by it is an odd number This can be written as A(45) = Odd
Evil or Odious Test:
Get binary expansion If binary has even amount 1's, then it's evil If binary has odd amount 1's, then it's odious 45 to binary = 101101 There are 4 1's, 45 is an evil number
Can you stack numbers in a pyramid? Each row above has one item less than the row before it Using a bottom row of 9 items, 45 forms a triangle It is a triangular number
56 ← Since this does not equal 45 This is NOT a tetrahedral (Pyramidal) number
Using n = 5, we have:
5(5 + 1)(5 + 2)
35 ← Since this does not equal 45 This is NOT a tetrahedral (Pyramidal) number
Narcissistic (Plus Perfect) Test:
Is equal to the square sum of it's m-th powers of its digits 45 is a 2 digit number, so m = 2 Square sum of digitsm = 42 + 52 Square sum of digitsm = 16 + 25 Square sum of digitsm = 41 Since 41 <> 45 45 is NOT narcissistic (plus perfect)
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
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Repunit This calculator has 1 input.
What 5 formulas are used for the Number Property Calculator?
Positive Numbers are greater than 0
Whole Numbers are positive numbers, including 0, with no decimal or fractional parts
Even numbers are divisible by 2
Odd Numbers are not divisible by 2
Palindromes have equal numbers when digits are reversed
What 11 concepts are covered in the Number Property Calculator?
a number by which another number is to be divided.
a given number base b is a number that is the sum of its own digits each raised to the power of the number of digits.
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
A word or phrase which reads the same forwards or backwards
a polygon of five angles and five sides
A number that can be shown as a pentagonal pattern of dots. n(3n - 1)/2
a positive integer that is equal to the sum of its positive divisors, excluding the number itself.
an attribute, quality, or characteristic of something
Example calculations for the Number Property Calculator