Properties of the Number -6936

Nine Hundred Thirty-Six

Basics

Value: -6937 → -6936 → -6935

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 17 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: -1101100011000

Octal: -15430

Duodecimal: -4020

Hexadecimal: -1b18

Square: 48108096

Square Root: 83.28265125462805

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

Expansion of ψ(x⁴) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A210063

Expansion of q^-1 * ψ(-q) / ψ(-q³)³ in powers of q where ψ() is a Ramanujan θ function. A133637

Expansion of q·f(-q,-q⁷)² / (φ(q²) * ψ(-q)) in powers of q where φ(), ψ(), f(,) are Ramanujan θ functions. A224216

O.g.f.: exp( ∑_n>=1 -(σ(2·n³) - σ(n³)) * (-x)ⁿ/n ). A225957

a(n) = permanent(T(n)), where T(n) is the tangent matrix defined in A346831 and n >= 1; by convention a(0) = 1. A347598

McKay-Thompson series of class 20d for Monster. A58559

a(n) = Permanent(T(2·n + 1)) where T(n) is the tangent matrix defined in A346831. Bisection of A347598 (odd indices). A347597

Expansion of f(-q³, -q⁵)² / (ψ(-q) * φ(q²)) in powers of q where φ(), ψ(), f() are Ramanujan θ functions. A245432

G.f.: (1+x²)²*(x⁴-6·x³+1)/(x²-1)⁴. A115046

a(n) = floor(f(n)), where f(n) = n⁴*(15-24·n+10·n²) + 20·n⁵*(1-n)³ / (1-2·n(1-n)). A356571