Properties of the Number -1312

Three Hundred Twelve

Basics

Value: -1313 → -1312 → -1311

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 41

Divisors: 1, 2, 4, 8, 16, 32, 41, 82, 164, 328

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100100000

Octal: -2440

Duodecimal: -914

Hexadecimal: -520

Square: 1721344

Square Root: 36.22154055254967

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 4th power of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55103

Dirichlet inverse of sigma₄ function (A001159). A53826

T(j,k) are the numerators u in the representation R = s/t + (2/π)*u/v of the resistance between two nodes separated by the distance vector (j,k) in an infinite square lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= j, is a triangle read by rows. A355566

Expansion of g.f. A(x,y) satisfying 0 = ∑_n=-oo..+oo xⁿ * A(x,y)ⁿ * (y - x^n-1)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A366730

Triangle of coefficients of Gaussian polynomials [2n+5,4]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=4n+2. A267484

Triangle of numbers obtained by inverting infinite matrix defined in A059369, read from right to left. A59370

G.f.: E(4·sqrt(x)) / K(4·sqrt(x)), where E(), K() are complete elliptic integrals. A328127

a(n) is the numerator of the imaginary part of 1/(1+i/2)ⁿ, where i is the imaginary unit. A370192

Determinant of the 3 X 3 Hankel matrix of consecutive primes starting at prime(n). A392522

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 326", based on the 5-celled von Neumann neighborhood. A271262