Properties of the Number 15914

Fifteen Thousand Nine Hundred Fourteen

Basics

Value: 15913 → 15914 → 15915

Parity: even

Prime: No

Previous Prime: 15913

Next Prime: 15919

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 73 × 109

Divisors: 1, 2, 73, 109, 146, 218, 7957, 15914

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111000101010

Octal: 37052

Duodecimal: 9262

Hexadecimal: 3e2a

Square: 253255396

Square Root: 126.15070352558483

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 representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

a(n) = 2ⁿ - C(n,0) - C(n,1) - C(n,2) - C(n,3). A2663

a(n) = ∑_k=0..10 binomial(n,k). A8863

E.g.f. satisfies A(x) = 1 - log(1 - x·A(x)²). A367080

Expansion of ∏_{1 <= i₁ <= i₂ <= i₃ <= i₄} 1/(1 - x^{i₁*i₂*i₃*i₄}). A321566

Number of 3X3X3 triangular 0..n arrays with every horizontal row having the same average value. A214596

Numbers whose second arithmetic derivative (A068346) is a primorial number (A002110) > 1. A368702

Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n. A219965

a(n) is the total number of all winning moves for all partitions of n which represent Chomp positions. A284686

Numbers k such that σ(k) + 6 = σ(k+6). A15914