Properties of the Number 10632

Ten Thousand Six Hundred Thirty-Two

Basics

Value: 10631 → 10632 → 10633

Parity: even

Prime: No

Previous Prime: 10631

Next Prime: 10639

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 443

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 443, 886

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110001000

Octal: 24610

Duodecimal: 61A0

Hexadecimal: 2988

Square: 113039424

Square Root: 103.11159003720194

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 integer partitions of n having a permutation with all equal run-lengths. A383013

Sum of smallest parts of all partitions of n into distinct parts. A92265

Array read by antidiagonals: T(n,k) is the number of (planar) unlabeled k-ary cacti having n polygons. A303912

G.f. A(x) satisfies A(x) = 1 / (1 - x - x·A(x³)). A367659

Number k such that both k and k+1 have an equal number of unitary and nonunitary divisors. A335328

The smallest number such that n or more positive numbers k exist such that a(n) - k = sopfr(a(n) + k), where sopfr(m) is the sum of the primes dividing m, with repetition. A369355

Expansion of q * ψ(q⁸) / φ(-q) in powers of q where ψ(), φ() are Ramanujan θ functions. A123655

First of two consecutive numbers with at least one 3 in their prime signature. A176313

Numbers n such that primorial(n)/2 - 1024 is prime. A139456

Number of unlabeled 6-ary cacti having n polygons. A54366