Properties of the Number 57117

Fifty-Seven Thousand One Hundred Seventeen

Basics

Value: 57116 → 57117 → 57118

Parity: odd

Prime: No

Previous Prime: 57107

Next Prime: 57119

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 79 × 241

Divisors: 1, 3, 79, 237, 241, 723, 19039, 57117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100011101

Octal: 157435

Duodecimal: 29079

Hexadecimal: df1d

Square: 3262351689

Square Root: 238.9916316526585

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

Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice. A2892

a(n) equals the least sum of the squares of the coefficients in ((1 + x^k)³ + x^p)ⁿ found at sufficiently large p for some fixed k>0. A186392

Numerators of continued fraction convergents to sqrt(944). A42826

a(n) = (8·n+5)*(8·n+9). A146302

Number of (5+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252966

Multiplicity of highest weight (or singular) vectors associated with character chi₁₅ of Monster module. A34403

Permutation of nonnegative integers obtained by mapping each forest of A000108[n] rooted binary plane trees from breadth-first to depth-first encoding. A57117