Properties of the Number -831

Eight Hundred Thirty-One

Basics

Value: -832 → -831 → -830

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 277

Divisors: 1, 3, 277, 831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100111111

Octal: -1477

Duodecimal: -593

Hexadecimal: -33f

Square: 690561

Square Root: 28.827070610799147

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

∏_k>=1(1 + x^k)^a(k) = 1 + 3x. A38068

This table (read by rows) shows the coefficients of sum formulas of n-th subfactorial numbers (A000166). The n-th row (n>=1) contains T(i,n) for i=1 to n, where T(i,n) satisfies Subf(n) = ∑_i=1..n T(i,n) * n^n-i. A101559

G.f.: ∑_n>=0 (xⁿ - 1)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A243919

a(n) = -(1/n) * ∑_d∣n φ(n/d) * (-3)^d. A343465

Expansion of e.g.f. log(1+x)/exp(tan(x)). A9438

McKay-Thompson series of class 27d for Monster. A58604

Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -(1/n) * ∑_d∣n φ(n/d) * (-k)^d. A382993

Signed version of A164984. A248810

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood. A272019

a(n) = ∑_i=1..n i²*(-1)^ceiling(sqrt(i)). A392677