Properties of the Number 53865

Fifty-Three Thousand Eight Hundred Sixty-Five

Basics

Value: 53864 → 53865 → 53866

Parity: odd

Prime: No

Previous Prime: 53861

Next Prime: 53881

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 7 × 19

Divisors: 1, 3, 5, 7, 9, 15, 19, 21, 27, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001001101001

Octal: 151151

Duodecimal: 27209

Hexadecimal: d269

Square: 2901438225

Square Root: 232.08834524809728

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

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in exactly nine ways. A345154

a(n) = 9·binomial(n,4) = 3·n*(n-1)*(n-2)*(n-3)/8. A60008

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^binomial(k+3,4). A344204

Smallest term in the Hofstadter sequence A005243 having exactly n representations as sum of consecutive earlier terms. A118166

Odd nonexponential abundant numbers: odd numbers k such that A160135(k) > k. A348605

Odd numbers k such that A162296(k) > 2·k. A357607

Number of n X 4 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209646

Convoluted convolved Fibonacci numbers G₈^r. A89115

A third-order generalization of the Mobius function of n. A53865