Properties of the Number -999

Nine Hundred Ninety-Nine

Basics

Value: -1000 → -999 → -998

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 37

Divisors: 1, 3, 9, 27, 37, 111, 333, 999

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111100111

Octal: -1747

Duodecimal: -6B3

Hexadecimal: -3e7

Square: 998001

Square Root: 31.606961258558215

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

a(n) = a(n-1) - 2·a(n-2) with a(0) = 2, a(1) = 1. A2249

a(n) = 1 - n³. A24001

a(n) = ∑_{k=0..floor(n/5)} (-1)^k * binomial(n+4,5·k+4) * Catalan(k). A360051

Riordan array (1/(1+xc(-2x)), xc(-2x)/(1+xc(-2x))), c(x) the g.f. of A000108. A114189

Expansion of (1-4x²)/(1+3x+4x²). A128415

Polylogarithm li(-n,-1/1000) multiplied by (1001ⁿ⁺¹)/1000. A213156

Row sums of Riordan triangle A321198. A321199

∏_n>=1 (1 + a(n)*xⁿ) = 1 + x + ∑_n>=2 prime(n-1)*xⁿ. A353606

Expansion of (1-q)^k/∏_j=1..k (1-q^j) for k=8. A275642

a(n) = 5ⁿ - n¹⁰. A24059