Properties of the Number -967

Nine Hundred Sixty-Seven

Basics

Value: -968 → -967 → -966

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 967

Divisors: 1, 967

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111000111

Octal: -1707

Duodecimal: -687

Hexadecimal: -3c7

Square: 935089

Square Root: 31.096623610932426

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 q*ψ(q⁹)/ψ(q) in powers of q. A124243

a(n) = 3·a(n-1) - 4·a(n-2) with a(0) = a(1) = 1. A247560

Expansion of q·f(q⁹)³ * φ(q) / (f(q³) * φ(q³)³) in powers of q where f(), φ() are Ramanujan θ functions. A164269

Expansion of f(x³)³ * φ(x³) / (f(x) * φ(x)³) in powers of·where f(), φ() are Ramanujan θ functions. A164270

a(0)=1, a(1)=1; thereafter a(n) = -a(n-1) - 2·a(n-2). A169998

Expansion of (2 + x + x² + x³ - x⁴ - 2·x⁵ - 4·x⁶ - 8·x⁷) / (1 - x⁴ + 16·x⁸) in powers of x. A247487

Triangle T(n, k, q) = (1-qⁿ)*( binomial(n, k) - 1 ) + 1, with q = 3, read by rows. A174719

a(n) = 3·a(n-2) - 4·a(n-4) with a(0) = 2, a(1) = 1, a(2) = 3, a(3) = 1. A247564

Deficiency of squares: a(n) = 2n² - σ(n²). A377879

Diagonal sums of Riordan array (1-x-x²,x(1-x)). A109266