Properties of the Number 57385

Fifty-Seven Thousand Three Hundred Eighty-Five

Basics

Value: 57384 → 57385 → 57386

Parity: odd

Prime: No

Previous Prime: 57383

Next Prime: 57389

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 23 × 499

Divisors: 1, 5, 23, 115, 499, 2495, 11477, 57385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000101001

Octal: 160051

Duodecimal: 29261

Hexadecimal: e029

Square: 3293038225

Square Root: 239.5516645736364

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4. A252032

Number of compositions of n whose non-adjacent parts are strictly decreasing. A333193

Expansion of ∑_k>0 x^k/(1 - k·x^k)⁴. A363645

Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 or 4. A252025

[ exp(6/17)*n! ]. A30894

Low-temperature partition function expansion for hexagonal lattice (Potts model, q=3). A57385