Properties of the Number 57122

Fifty-Seven Thousand One Hundred Twenty-Two

Basics

Value: 57121 → 57122 → 57123

Parity: even

Prime: No

Previous Prime: 57119

Next Prime: 57131

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 ⁴

Divisors: 1, 2, 13, 26, 169, 338, 2197, 4394, 28561, 57122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100100010

Octal: 157442

Duodecimal: 29082

Hexadecimal: df22

Square: 3262922884

Square Root: 239.00209204105306

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) = floor( a(n-1)/(sqrt(2) - 1) ), with a(0) = 1. A24537

Triangle read by rows: T(n,d) is the number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1, d >= 0). A49430

Numbers k such that k*(k - 1)/2 is a square. A55997

Numbers of the form (2ⁱ)*(13^j). A107326

Triangle T(n,d) = number of distinct d-dimensional polyominoes (or polycubes) with n cells (0 < d < n). A49429

Integer sequence induced by Bulgarian solitaire operation on partition list A241918: a(n) = A241909(A242424(A241909(n))). A243051

Numbers of the form (square + 1) that are not squarefree. A124809

Numbers with 5 odd divisors. A267696

Expansion of g.f. (1-x-x²)/(1-x-3·x²-x³). A97075

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 in row major order. A233073