Properties of the Number 12457

Twelve Thousand Four Hundred Fifty-Seven

Basics

Value: 12456 → 12457 → 12458

Parity: odd

Prime: Yes

Previous Prime: 12451

Next Prime: 12473

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 12457

Divisors: 1, 12457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010101001

Octal: 30251

Duodecimal: 7261

Hexadecimal: 30a9

Square: 155176849

Square Root: 111.61093136427094

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

Primes with 10 as smallest positive primitive root. A61323

Primes such that the sum of the predecessor and successor primes is divisible by 31. A113155

Primes of the form 9x² + 6xy + 1849y². A244019

Primes p such that (p+1)/2 and (p+2)/3 are also primes. A36570

Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6·n. A52357

T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. A234131

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 2 3 4 5 or 6. A251390

First primes of arithmetic progressions of 5 primes each with the common difference 30. A227281

Primes of the form x² + 1848·y². A139668

a(0)=1, a(1)=1, a(n) = 9·a(n/2) for even n >= 2, and a(n) = 8·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116526