Properties of the Number -2580

Five Hundred Eighty

Basics

Value: -2581 → -2580 → -2579

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 43

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101000010100

Octal: -5024

Duodecimal: -15B0

Hexadecimal: -a14

Square: 6656400

Square Root: 50.79370039680118

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

∏_k>=1 (1+x^k)^a(k) = 1 + 5x. A38070

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

a(n) = -n² - n + 72. A110678

Start with 2, then successively subtract the primes 3, 5, 7, ... A282329

The n-th term of the n-th Dirichlet self-convolution equals n². A163591

Fourier coefficients of the modular form (1/t_6a³) * (1-12·sqrt(-3) / t_6a)^1/6 * F_6a¹⁰. A341566

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

Number of irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras. A1692

Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers). A7629

Table T(n,k) read by downward antidiagonals: number of Lyndon words (aperiodic necklaces) with n beads of k colors, n >= 1, k >= 1. A74650