Properties of the Number 57287

Fifty-Seven Thousand Two Hundred Eighty-Seven

Basics

Value: 57286 → 57287 → 57288

Parity: odd

Prime: Yes

Previous Prime: 57283

Next Prime: 57301

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 57287

Divisors: 1, 57287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111000111

Octal: 157707

Duodecimal: 2919B

Hexadecimal: dfc7

Square: 3281800369

Square Root: 239.3470283918311

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 nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. A268995

Primes p such that p - m², m = 2, 4, 6, 8, are all (positive) primes. A246874

Least m such that φ-Composite-Harmonic series ∑_k=1..m 1/A000010(A002808(k)) >= n. A74470

Number of zero-sum -n..n arrays of 7 elements with first through fourth differences also in -n..n. A201442

Number of nX7 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. A268994

Number of 3 X n binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. A268997

A symmetrical triangle sequence:q=4:t(n,m,q)=(1 - qⁿ)*Eulerian[n + 1, m] - (1 - qⁿ) + 1. A174730

Numbers k such that (9^k + 3^k + 1)/13 is prime. A374105

T(n,k) = Number of zero-sum -k..k arrays of n elements with first through fourth differences also in -k..k. A201439

Numbers n such that n | 10ⁿ + 9ⁿ + 8ⁿ + 7ⁿ + 6ⁿ + 5ⁿ + 4ⁿ + 3ⁿ + 2ⁿ. A57287