Properties of the Number 57121

Fifty-Seven Thousand One Hundred Twenty-One

Basics

Value: 57120 → 57121 → 57122

Parity: odd

Prime: No

Previous Prime: 57119

Next Prime: 57131

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 239 ²

Divisors: 1, 239, 57121

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100100001

Octal: 157441

Duodecimal: 29081

Hexadecimal: df21

Square: 3262808641

Square Root: 239

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

Expansion of 1/((1 - x)*(1 - 2·x - x²)). A48739

a(n)-th triangular number is a square: a(n+1) = 6·a(n) - a(n-1) + 2, with a(0) = 0, a(1) = 1. A1108

Sum of legs of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89552

Number of 13 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner. A69335

Repeatedly multiply (1,0,0) by ([1,2,2],[2,1,2],[2,2,3]); sequence gives leading entry. A90390

Expansion of g.f. x/(1 - x - 3·x² - x³). A97076

a(n) = (11·n + 8)². A17486

Squares with initial digit '5'. A45788

a(n) = n*(n+1)*(n+2)*(n+3)+1 = (n² + 3·n + 1)². A62938

T(n,k)=Number of nXk 0..2 arrays with rows, diagonals and antidiagonals unimodal. A223789