Properties of the Number -961

Nine Hundred Sixty-One

Basics

Value: -962 → -961 → -960

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 ²

Divisors: 1, 31, 961

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111000001

Octal: -1701

Duodecimal: -681

Hexadecimal: -3c1

Square: 923521

Square Root: 31

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 ∏_k>=1 (1 + x^4·k)/(1 + x^k). A261734

Dirichlet g.f.: 1 / ζ(s-2). A334657

a(1) = 1, a(2) = -5; a(n) = -n² * ∑_{d∣n, d < n} a(d) / d². A359485

a(1) = 1, a(2) = 3; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361986

Perfect powers (m^k where m is an integer and k >= 2) multiplied by -1 when m is prime for largest k (m^k thus a prime power). A157985

a(1) = 1; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361987

Expansion of (1-2x-5x²-7x³+x⁶)/((1-x)(1-x³)²). A141352

Numerator of Euler(n, 2/5). A156185

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood. A270009

Numerator of 3F2([3·n, -n, n+1],[2·n+1, n+1/2], 1). A277170