Properties of the Number -2163

One Hundred Sixty-Three

Basics

Value: -2164 → -2163 → -2162

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 103

Divisors: 1, 3, 7, 21, 103, 309, 721, 2163

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100001110011

Octal: -4163

Duodecimal: -1303

Hexadecimal: -873

Square: 4678569

Square Root: 46.50806381693394

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 ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))⁷. A29844

a(0)=1; thereafter a(n) = -3*∑_k=1..n binomial(2n,2k)*a(n-k). A210676

Expansion of ψ(x³) / ψ(x) in powers of·where ψ() is a Ramanujan θ function. A101195

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood. A269875

Dirichlet g.f.: ζ(s-1) / (ζ(s) * ζ(s-2)). A328502

Central polygonal numbers: a(n) = n² - n + 1. A2061

a(n) = ∑_k=1..n n/gcd(n,k). A57660

a(n) = 4·n² - 6·n + 3. A54569

Expansion of ∑_k>=2 x^k*(k+3/2) / ∏_j=1..k (1 - x^j). A318029

Number of chains in power set of n-set. A7047