Properties of the Number -1316

Three Hundred Sixteen

Basics

Value: -1317 → -1316 → -1315

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 47

Divisors: 1, 2, 4, 7, 14, 28, 47, 94, 188, 329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100100100

Octal: -2444

Duodecimal: -918

Hexadecimal: -524

Square: 1731856

Square Root: 36.27671429443411

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Stirling transform of j-> (j+1)^k. A383049

Reversion of Jacobi theta₃. A6195

Expansion of (φ(q) / φ(q⁹))² in powers of q where φ() is a Ramanujan θ function. A164613

Poly-Cauchy numbers c₄^-n. A223851

Expansion of log(1+x)*log(1+tanh(x)). A9423

Determinants of 3 X 3 matrices of discrete blocks of 9 consecutive primes. A117329

Coefficients in the expansion of ([s] + [2s]x + [3s]x² + ...)/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = e - 1, s = r/(1-r). A279632

G.f.: ∑_n>=1 ∑_k=0..n binomial(n,k) * x^k² * (xⁿ - x^k)^n-k, ignoring the constant term. A292808

G.f. A(x) satisfies: A(x) = 1 - x·A(x/(1 - x)²) / (1 - x)². A351659

a(n) = ∑_k=0..n (k+1)⁶ * Stirling1(n,k). A383050