Properties of the Number 57141

Fifty-Seven Thousand One Hundred Forty-One

Basics

Value: 57140 → 57141 → 57142

Parity: odd

Prime: No

Previous Prime: 57139

Next Prime: 57143

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 907

Divisors: 1, 3, 7, 9, 21, 63, 907, 2721, 6349, 8163

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101111100110101

Octal: 157465

Duodecimal: 29099

Hexadecimal: df35

Square: 3265093881

Square Root: 239.04183734233638

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

Start with a single square; at n-th generation add a square at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247903

Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) having k valleys. The members of B(n) are paths of weight n that start at (0,0), end on but never go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A valley is a (1,-1)-step followed by a (1,1)-step. A182900

Minimum value of the cyclic autocorrelation of first n primes. A299053

Number of binary strings of length n with equal numbers of 00010 and 11011 substrings. A164226

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 913", based on the 5-celled von Neumann neighborhood. A273768

Number of equivalence classes of self-dual 4-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,4). A57141