Properties of the Number 113

One Hundred Thirteen

Basics

Value: 112 → 113 → 114

Parity: odd

Prime: Yes

Previous Prime: 109

Next Prime: 127

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 113

Divisors: 1, 113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001

Octal: 161

Duodecimal: 95

Hexadecimal: 71

Square: 12769

Square Root: 10.63014581273465

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

The prime numbers. A40

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

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

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Pythagorean primes: primes of the form 4·k + 1. A2144

Sophie Germain primes p: 2p+1 is also prime. A5384

Prime powers: numbers of the form p^k where p is a prime and k >= 1. A246655

Odd primes. A65091

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

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