Properties of the Number 57256

Fifty-Seven Thousand Two Hundred Fifty-Six

Basics

Value: 57255 → 57256 → 57257

Parity: even

Prime: No

Previous Prime: 57251

Next Prime: 57259

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 17 × 421

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 421, 842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101111110101000

Octal: 157650

Duodecimal: 29174

Hexadecimal: dfa8

Square: 3278249536

Square Root: 239.28226010300054

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

Structured triakis tetrahedral numbers (vertex structure 4). A100175

a(n) = (15·n⁴ + 22·n³ + 45·n² + 14·n) / 24. A101166

Expansion of e.g.f. exp(x * (2 + exp(x))). A367874

Partial sums of the first 10ⁿ terms in A181482. A222739

Expansion of ∏_{i>=1, j>=1} (1 + i·x^i·j). A333653

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259718

Triangle read by rows: T(n,k) = number of partial idempotent mappings (of an n-chain) with (right) waist exactly k. A258579

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000011. A259723

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 4^k) (mod 5ⁿ) ). A376534

The sum of the first n integers, with every third integer taken negative. A181482