Properties of the Number 10644

Ten Thousand Six Hundred Forty-Four

Basics

Value: 10643 → 10644 → 10645

Parity: even

Prime: No

Previous Prime: 10639

Next Prime: 10651

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 887

Divisors: 1, 2, 3, 4, 6, 12, 887, 1774, 2661, 3548

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110010100

Octal: 24624

Duodecimal: 61B0

Hexadecimal: 2994

Square: 113294736

Square Root: 103.16976301223144

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

Inverse binomial transform of a₀ = 1, a₁, a₂, etc. is a₀, 0, a₁, 0, a₂, 0, etc. A27826

a(n) = 3·a(n-2) - a(n-3), with a(0)=0, a(1)=-3, and a(2)=6. A215666

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954

Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n+2. A210374

Third binomial transform of binomial(n+4, 4). A81899

G.f.: ∏_k>0 (1 - x^k)⁴ * (1 - (-x)^k)⁸. A225543

From expansion of falling factorials. A5492

E.g.f.: log((1-x)/(1-2·x))*x/(1-x). A52861