Properties of the Number 65257

Sixty-Five Thousand Two Hundred Fifty-Seven

Basics

Value: 65256 → 65257 → 65258

Parity: odd

Prime: Yes

Previous Prime: 65239

Next Prime: 65267

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 65257

Divisors: 1, 65257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011101001

Octal: 177351

Duodecimal: 31921

Hexadecimal: fee9

Square: 4258476049

Square Root: 255.45449692655637

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

Primes of form n² + 20736. A256840

Expansion of ∏_k>=1 (1 - k²*x^k)^k. A294581

The smallest prime that becomes 2·prime(n), when all the bits in its binary expansion are inverted, or -1 if no such prime exists. A339268

Integer part of log(n!)^{1 + log(log(1 + n})). A62475

Nearest integer to log(n!)^{1 + log(log(1 + n})). A62476

Quintal Queens permutation of N: double (mod 5) each digit (0->0, 1->2, 2->4, 3->1, 4->3) of the base-5 representation of n-1, add one. A65257

Number of 8Xn binary arrays without the pattern 0 0 diagonally or vertically. A188712

Number of (n+1)X(4+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero. A232072