Properties of the Number 57614

Fifty-Seven Thousand Six Hundred Fourteen

Basics

Value: 57613 → 57614 → 57615

Parity: even

Prime: No

Previous Prime: 57601

Next Prime: 57637

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 28807

Divisors: 1, 2, 28807, 57614

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110000100001110

Octal: 160416

Duodecimal: 29412

Hexadecimal: e10e

Square: 3319372996

Square Root: 240.02916489460193

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

T(n,k)=Number of arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others. A183892

Expansion of 1/(1 - 2·x + 3·x² + 2·x³ + x⁴). A375255

Number of arrangements of n+3 numbers in 0..7 with each number being the sum mod 8 of three others. A183890

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 0, 1), (1, -1, -1), (1, 1, 0)}. A149999

a(n+1) = a(n)/2 if 2∣a(n), a(n)/3 if 3∣a(n), a(n)/5 if 5∣a(n), a(n)/7 if 7∣a(n), otherwise 11·a(n)+1. A57614

Molien series for 16-dimensional group of structure 2⁴.O₄⁺(F₂) = 2⁴.(S₃ X S₃).2 and order 1152, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4) containing the all-ones vector. A92203