Properties of the Number 157

One Hundred Fifty-Seven

Basics

Value: 156 → 157 → 158

Parity: odd

Prime: Yes

Previous Prime: 151

Next Prime: 163

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 157

Divisors: 1, 157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101

Octal: 235

Duodecimal: 111

Hexadecimal: 9d

Square: 24649

Square Root: 12.529964086141668

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The prime numbers. A40

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

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

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

Central polygonal numbers: a(n) = n² - n + 1. A2061

Odd primes. A65091

a(n) = 3·n + 1. A16777

a(n) = 4·n + 1. A16813

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