Properties of the Number 52731

Fifty-Two Thousand Seven Hundred Thirty-One

Basics

Value: 52730 → 52731 → 52732

Parity: odd

Prime: No

Previous Prime: 52727

Next Prime: 52733

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 7 × 31

Divisors: 1, 3, 7, 9, 21, 27, 31, 63, 81, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111111011

Octal: 146773

Duodecimal: 26623

Hexadecimal: cdfb

Square: 2780558361

Square Root: 229.63231479911533

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 partitions p of n such that mean(p) <= multiplicity(min(p)). A240204

a(n) = ∑_k=0..n k³ * 2^n-k * binomial(n,k). A383137

Number of partitions of n such that (greatest part) > (multiplicity of least part). A240184

Triangle T(n,t) by rows: The number of rooted forests with n 3-colored nodes and t rooted trees. A271879

Expansion of 1/((1-3x)*(1-6x)*(1-12x)). A17954

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 189", based on the 5-celled von Neumann neighborhood. A270679

E.g.f. [1-x -sqrt(1-2x-3x²)]/(2x) - [1+x-sqrt(1-2x-3x²)]/2 . A52731