Properties of the Number -2584

Five Hundred Eighty-Four

Basics

Value: -2585 → -2584 → -2583

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 17 × 19

Divisors: 1, 2, 4, 8, 17, 19, 34, 38, 68, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101000011000

Octal: -5030

Duodecimal: -15B4

Hexadecimal: -a18

Square: 6677056

Square Root: 50.83306010855534

Classification

Fibonacci: Yes

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

a(n+2) = -a(n+1) + a(n) (signed Fibonacci numbers) with a(-2) = a(-1) = 1; or Fibonacci numbers (A000045) extended to negative indices. A39834

Triangle, read by rows, equal to the matrix inverse of Q=A113381. A114158

a(n) = a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=-1. A152163

An inverse Catalan transform of Fibonacci(2n). A100334

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where A(n,k) = ∑_j=1..n floor(n/j) * (-k)^j-1. A344824

a(n) = (-1)^n-1*(a(n-1) - a(n-2)), a(1)=1, a(2)=1. A51792

Binomial transform of 1, 1, 0, -1, -1 (periodically continued). A138003

Fibonacci numbers (A000045) starting at offset -20. A147316

A characteristic triangle for the Fibonacci numbers. A110033

Expansion of (χ(-x) * χ(-x¹⁹))² in powers of·where χ() is a Ramanujan θ function. A134005