Properties of the Number 57625

Fifty-Seven Thousand Six Hundred Twenty-Five

Basics

Value: 57624 → 57625 → 57626

Parity: odd

Prime: No

Previous Prime: 57601

Next Prime: 57637

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ³ × 461

Divisors: 1, 5, 25, 125, 461, 2305, 11525, 57625

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100011001

Octal: 160431

Duodecimal: 29421

Hexadecimal: e119

Square: 3320640625

Square Root: 240.05207768315609

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

Total number of parts in all partitions of n plus the sum of largest parts in all partitions of n plus the number of partitions of n plus n. A225610

Numbers m that generate rotationally symmetrical XOR-triangles T(m) that have central triangles of zeros. A334769

Expansion of e.g.f. 1 / (1 - (exp(x) - 1)³ / 3!). A346894

T(n,k)=Number of arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others. A183884

A Fibonacci-based recurrence. A139759

Number of arrangements of n+2 numbers in 0..4 with each number being the sum mod 5 of two others. A183879

a(n) = n! * sum 1/k! where the sum is over all positive integers k that divide n. A57625

a(n) = (A070939(A334769(n)) - A334770(n))/3. A334796