Properties of the Number -309

Three Hundred Nine

Basics

Value: -310 → -309 → -308

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 103

Divisors: 1, 3, 103, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100110101

Octal: -465

Duodecimal: -219

Hexadecimal: -135

Square: 95481

Square Root: 17.578395831246947

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

L.g.f.: log( ∑_n>=0 x^n² ), the log of the characteristic function of the squares. A162552

a(n) = A033879(A276086(n)). A324654

Series expansion of (-3 - 2·x)/(1 + x - x³) in powers of x. A78712

a(n) = A019565(1+n) - A019565(A001065(n)), where A019565 is the base-2 exp-function, and A001065 is the sum of proper divisors of n. A379496

Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = ∏_j=1..n-1 ((q^j+1 - 1)/(q-1)) and q = 2. A172091

Expansion of f(-x⁶)³ / (f(x)² * ψ(x)) in powers of·where ψ(), f() are Ramanujan θ functions. A262156

Expansion of 1 / ∑_{k in Z} x^2·k / (1 - x^5·k+2). A375061

Polynomial expansion sequence : p(x)=1 + x - x⁵ + x⁹ + x¹⁰. A143605

Expansion of f(x, x⁷) / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A259774

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 115", based on the 5-celled von Neumann neighborhood. A270184