Properties of the Number 63257

Sixty-Three Thousand Two Hundred Fifty-Seven

Basics

Value: 63256 → 63257 → 63258

Parity: odd

Prime: No

Previous Prime: 63247

Next Prime: 63277

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 61 ²

Divisors: 1, 17, 61, 1037, 3721, 63257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011100011001

Octal: 173431

Duodecimal: 30735

Hexadecimal: f719

Square: 4001448049

Square Root: 251.5094431626773

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

Sum of the lengths of the cycle types of the permutation created by length sorting on the partitions of n. A36056

First lower diagonal of Parker's triangle A047812. A335323

Number of partitions of n into parts but with two kinds of parts of sizes 1 to 9. A103928

Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/g(p), where g(p) is the next odd number (starting with p) that we get after iteration of h(n) = n/2 when n is even, 5n+1 when n is odd. Start with f(n/1) and iterate f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0. A63257