Properties of the Number 57684

Fifty-Seven Thousand Six Hundred Eighty-Four

Basics

Value: 57683 → 57684 → 57685

Parity: even

Prime: No

Previous Prime: 57679

Next Prime: 57689

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 19 × 23

Divisors: 1, 2, 3, 4, 6, 11, 12, 19, 22, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1110000101010100

Octal: 160524

Duodecimal: 29470

Hexadecimal: e154

Square: 3327443856

Square Root: 240.17493624439666

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

a(n) = 3·binomial(4·n,n)/(n+1). A7228

T(n,k) = number of n X k 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302820

Alexandrian integers: numbers of the form n = p·q*r such that 1/n = 1/p - 1/q - 1/r for some integers p,q,r. A147811

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302814

Number of n X 5 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302817

Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302823

Duplicate of A007228. A24497

Number of walks within N² (the first quadrant of Z²) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 1), (-1, 0), (0, 1), (1, -1), (1, 0)}. A151298

Array t(n,k) = binomial(n·k, n+1)/n, where n >= 1 and k >= 2, read by ascending antidiagonals. A241262

Trajectory of 13 under the '13x+1' map. A57684