Properties of the Number 12157

Twelve Thousand One Hundred Fifty-Seven

Basics

Value: 12156 → 12157 → 12158

Parity: odd

Prime: Yes

Previous Prime: 12149

Next Prime: 12161

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 12157

Divisors: 1, 12157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101111101

Octal: 27575

Duodecimal: 7051

Hexadecimal: 2f7d

Square: 147792649

Square Root: 110.25878649794764

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

Smallest of three consecutive primes whose sum is a square. A206279

Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223. A52164

Primes that are palindromic in base 7. A29975

Primes p with prime(p)² + (2·p)² and p² + (2·prime(p))² both prime. A236193

Number of partitions of n avoiding equidistant 3-term arithmetic progressions. A238433

Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

Consecutive states of the linear congruential pseudo-random number generator (419·s + 6173) mod 29282 when started at s=1. A385036

Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups. A92946

Primes congruent to 21 mod 37. A142130

Primes congruent to 3 mod 59. A142730