Properties of the Number 10359

Ten Thousand Three Hundred Fifty-Nine

Basics

Value: 10358 → 10359 → 10360

Parity: odd

Prime: No

Previous Prime: 10357

Next Prime: 10369

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1151

Divisors: 1, 3, 9, 1151, 3453, 10359

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001110111

Octal: 24167

Duodecimal: 5BB3

Hexadecimal: 2877

Square: 107308881

Square Root: 101.77917272212424

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-node unrooted quartic trees; number of n-carbon alkanes C(n)H(2n+2) ignoring stereoisomers. A602

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁹ in powers of x. A1487

Number of 3-separable partitions of n; see Comments. A239469

Number of partitions p of n such that the number of parts having multiplicity 1 is not a part and max(p) - min(p) is a part. A241448

a(n) = ∑_i=0..n digsum₃(i)⁴, where digsum₃(i) = A053735(i). A231505

G.f.: ∑_n>=0 (xⁿ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323689

a(n) = (2·n³ + 9·n² + n + 24) / 6. A160805

Partial sums of A247666. A253767

Odd coefficients in ∑_n>=0 (xⁿ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323687

a(n) = floor( n*(n-1)*(n-2)/23 ). A11905