Properties of the Number 14972

Fourteen Thousand Nine Hundred Seventy-Two

Basics

Value: 14971 → 14972 → 14973

Parity: even

Prime: No

Previous Prime: 14969

Next Prime: 14983

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 19 × 197

Divisors: 1, 2, 4, 19, 38, 76, 197, 394, 788, 3743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101001111100

Octal: 35174

Duodecimal: 87B8

Hexadecimal: 3a7c

Square: 224160784

Square Root: 122.36012422353943

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

Numbers k such that the coefficient of x^k in the expansion of ∏_j>=1 (1 - x^j)⁵ is zero. A302057

a(n) = 1 + ∑_k=1..n-3 a(k) * a(n-k-3). A346075

a(n) = ∑_{1 <= x₁ <= x₂ <= x₃ <= x₄ <= n} gcd(x₁, x₂, x₃ , x₄, n). A343518

a(n) is the forgotten index of the Fibonacci cube γ(n). A307208

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 493", based on the 5-celled von Neumann neighborhood. A272544

Expansion of (theta₃(q) / theta₄(q) )⁴ in powers of q; also of 1 / (1 - λ(z)). A14972

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically. A207907

G.f. A(x) satisfies: ∑_n>=0 A(xⁿ)ⁿ = x. A326559