Properties of the Number -313

Three Hundred Thirteen

Basics

Value: -314 → -313 → -312

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 7

Digital Root: 7

Palindrome: Yes

Factorization: 313

Divisors: 1, 313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: -100111001

Octal: -471

Duodecimal: -221

Hexadecimal: -139

Square: 97969

Square Root: 17.69180601295413

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 ψ(q) * ψ(q²) * ψ(q⁶) / ψ(q³)³ in powers of q where ψ() is a Ramanujan θ function. A213265

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0. A105578

Expansion of c(q⁴) / c(q) in powers of q where c() is a cubic AGM θ function. A123649

Expansion of q^-1/3 * a(q) * b(q) * c(q) / 3 in powers of q where a(), b(), c() are cubic AGM θ functions. A130539

Expansion of q * (ψ(q) / ψ(q²)) / (ψ(q³) / ψ(q⁶))³ in powers of q where ψ() is a Ramanujan θ function. A187153

Array T(n, m) read by ascending antidiagonals: numerators of shifted Bernoulli numbers B(n, m) where m >= 0. A338873

G.f. A(x) satisfies A(x) = 1 - x/A(x)³ * (1 - A(x) - A(x)⁴). A371890

Numerators of coefficients in Taylor series expansion of log(cotan(x)*arctan(x)). A12867

Imaginary Rabbits: imaginary part of a(0)=i; a(1)=-i; a(n) = a(n-1) + i·a(n-2), with i = sqrt(-1). A14291

G.f.: ∏_k>0 (1-x^4k-1) / (1-x^4k-2). A131795