Properties of the Number 117

One Hundred Seventeen

Basics

Value: 116 → 117 → 118

Parity: odd

Prime: No

Previous Prime: 113

Next Prime: 127

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13

Divisors: 1, 3, 9, 13, 39, 117

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101

Octal: 165

Duodecimal: 99

Hexadecimal: 75

Square: 13689

Square Root: 10.816653826391969

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

The odd numbers: a(n) = 2·n + 1. A5408

Completely multiplicative with a(prime(k)) = prime(k+1). A3961

Numbers that are not squarefree. Numbers that are divisible by a square greater than 1. The complement of A005117. A13929

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits. A5349

a(n) = 3·n. A8585

Odious numbers: numbers with an odd number of 1's in their binary expansion. A69

Numbers that are the product of exactly three (not necessarily distinct) primes. A14612

a(n) = 4·n + 1. A16813

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