Show numerical properties of 35

We start by listing out divisors for 35

Divisor | Divisor Math |
---|---|

1 | 35 ÷ 1 = 35 |

5 | 35 ÷ 5 = 7 |

7 | 35 ÷ 7 = 5 |

Positive Numbers > 0Since 35 ≥ 0 and it is an integer

35 is a

Positive numbers including 0Since 35 ≥ 0 and it is an integer

with no decimal or fractions

35 is a

it is a

If D = N, then it's perfect

If D > N, then it's abundant

If D < N, then it's deficient

Divisor Sum = 1 + 5 + 7

Divisor Sum = 13

Since our divisor sum of 13 < 35

35 is

If not divisible by 2, it is odd

17.5 = | 35 |

2 |

Since 17.5 is not an integer, 35 is not divisible by

it is an

This can be written as A(35) = Odd

If binary has even amount 1's, then it's evil

If binary has odd amount 1's, then it's odious

35 to binary = 100011

There are 3 1's, 35 is an

Each row above has one item less than the row before it

Using a bottom row of 8 items, we cannot form a pyramid

35 is

Triangular number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

No integer m exists such that m(m + 1) = 35

35 is not rectangular

Rectangular number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

35

Since 1225 does not end with 35

it is

Automorphic number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

Since 35 < 100

We only perform the test on numbers > 99

5

Therefore, 35 is

3

Therefore, 35 is

The number read backwards is 53

Since 35 <> 53

it is

From above, since 35 is not both prime and a palindrome

it is

Since there is at least one digit in 35 ≠ 1

then it is

2

Since 2

35 is

n(3n - 1) | |

2 |

Using n = 5, we have:

5(3(5 - 1) | |

2 |

5(15 - 1) | |

2 |

5(14) | |

2 |

70 | |

2 |

35 ← Since this equals 35

this is a

Pentagonal number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

No integer m exists such that m(2m - 1) = 35

Therefore 35 is not hexagonal

Hexagonal number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

m = | n(5n - 3) |

2 |

No integer m exists such that m(5m - 3)/2 = 35

Therefore 35 is not heptagonal

Heptagonal number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

No integer m exists such that m(3m - 2) = 35

Therefore 35 is not octagonal

Octagonal number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

m = | n(7n - 5) |

2 |

No integer m exists such that m(7m - 5)/2 = 35

Therefore 35 is not nonagonal

Nonagonal number: 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

n(n + 1)(n + 2) | |

6 |

Using n = 5, we have:

5(5 + 1)(5 + 2) | |

6 |

5(6)(7) | |

6 |

210 | |

6 |

35 ← Since this equals 35

This is a

35 is a 2 digit number, so m = 2

Square sum of digits

Square sum of digits

Square sum of digits

Since 34 <> 35

35 is

C_{n} = | 2n! |

(n + 1)!n! |

C_{5} = | (2 x 5)! |

5!(5 + 1)! |

Using our factorial lesson

C_{5} = | 10! |

5!6! |

C_{5} = | 3628800 |

(120)(720) |

C_{5} = | 3628800 |

86400 |

C

Since this does not equal 35

This is

Using n = 4, we have:

C_{4} = | (2 x 4)! |

4!(4 + 1)! |

Using our factorial lesson

C_{4} = | 8! |

4!5! |

C_{4} = | 40320 |

(24)(120) |

C_{4} = | 40320 |

2880 |

C

Since this does not equal 35

This is

·

·

·

·

·

·

·

Positive

Whole

Composite

Deficient

Odd

Odious

Pentagonal

Tetrahedral (Pyramidal)

Whole

Composite

Deficient

Odd

Odious

Pentagonal

Tetrahedral (Pyramidal)

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

This calculator has 1 input.

* 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

This calculator has 1 input.

- 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

For more math formulas, check out our Formula Dossier

- divisor
- a number by which another number is to be divided.
- even
- narcissistic numbers
- 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.
- number
- 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.
- number property
- odd
- palindrome
- A word or phrase which reads the same forwards or backwards
- pentagon
- a polygon of five angles and five sides
- pentagonal number
- A number that can be shown as a pentagonal pattern of dots.

n(3n - 1)/2 - perfect number
- a positive integer that is equal to the sum of its positive divisors, excluding the number itself.
- property
- an attribute, quality, or characteristic of something

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