Properties of the Number 57248

Fifty-Seven Thousand Two Hundred Forty-Eight

Basics

Value: 57247 → 57248 → 57249

Parity: even

Prime: No

Previous Prime: 57241

Next Prime: 57251

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 1789

Divisors: 1, 2, 4, 8, 16, 32, 1789, 3578, 7156, 14312

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111110100000

Octal: 157640

Duodecimal: 29168

Hexadecimal: dfa0

Square: 3277333504

Square Root: 239.2655428598109

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

Number of undirected Knight's tours on a 3 X n board. A169696

T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279168

Triangle T(n,k), n >= 2, 0 <= k <= floor(n²/2)-2·n+2, read by rows, where T(n,k) is the number of 2*(k+2·n-2)-cycles in the n X n grid graph which pass through NW and SE corners ((0,0),(n-1,n-1)). A333667

Number of nX5 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279165

Number of (undirected) Hamiltonian paths on the first n cells of the 3 X ceiling(n/3) knight graph. A389759

Numbers n such that n | 6ⁿ + 5ⁿ + 4ⁿ + 3ⁿ. A57248