Properties of the Number 65656

Sixty-Five Thousand Six Hundred Fifty-Six

Basics

Value: 65655 → 65656 → 65657

Parity: even

Prime: No

Previous Prime: 65651

Next Prime: 65657

Digit Sum: 28

Digital Root: 1

Palindrome: Yes

Factorization: 2 ³ × 29 × 283

Divisors: 1, 2, 4, 8, 29, 58, 116, 232, 283, 566

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000001111000

Octal: 200170

Duodecimal: 31BB4

Hexadecimal: 10078

Square: 4310710336

Square Root: 256.23426780975257

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

Palindromic in bases 7 and 10. A29964

T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally. A188874

Number of non-equivalent binary n X n matrices with two nonadjacent 1's. A232567

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^{4^(k-1}). A344267

Palindromes of the form 5p + 1 where p is also a palindrome. Palindromes arising in A083833. A83834

Palindromes n such that n and n² have same digit sum. A58852

a(n) = (n!)ⁿ * [xⁿ] -log(1 + ∑_k>=1 (-x)^k / kⁿ). A336440

Palindromes with consecutive digits that differ exactly by 1. A207954

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 51 ones. A31819

Number of nX6 binary arrays without the pattern 0 0 0 antidiagonally or horizontally. A188871