Properties of the Number 52916

Fifty-Two Thousand Nine Hundred Sixteen

Basics

Value: 52915 → 52916 → 52917

Parity: even

Prime: No

Previous Prime: 52903

Next Prime: 52919

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 13229

Divisors: 1, 2, 4, 13229, 26458, 52916

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010110100

Octal: 147264

Duodecimal: 26758

Hexadecimal: ceb4

Square: 2800103056

Square Root: 230.0347799790284

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

Number of n-step self-avoiding cycles on the hypertriangular lattice. A344070

Number of integer partitions of n whose parts cannot be arranged into a (not necessarily square) matrix with equal row-sums and equal column-sums. A323348

Number of n X 5 0..1 arrays with every element unequal to 0, 1 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A299592

Numerator of the expected number of random moves in Tower of Hanoi problem with n disks starting at a randomly chosen valid configuration and ending with all disks at peg 1. A246961

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A299595

Expansion of (1-x)/(1 - x - 2·x³ + x⁴). A52916