Properties of the Number -167

One Hundred Sixty-Seven

Basics

Value: -168 → -167 → -166

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 167

Divisors: 1, 167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100111

Octal: -247

Duodecimal: -11B

Hexadecimal: -a7

Square: 27889

Square Root: 12.922847983320086

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 χ(-q) / χ(-q¹⁰) in powers of q where χ() is a Ramanujan θ function. A145707

a(n) = nearest integer to n² * cos(sqrt(n)). A274090

Take alternate terms of A274088 and A274090. A274091

a(n) = nearest integer to k²*sin(sqrt(k)+j*π/2) where n = 3·k+j, 0<=j<3. A274092

a(n) = -n² + 9·n + 23. A126719

Expansion of 1/(1-x*(1-8·x)). A145978

Coefficient of x^-n in expansion of continued fraction 0, x, x², x³, x⁴, ... . A49346

Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n). A73579

a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4, with initial terms 1,1,-2,-1. A111571

Expansion of q^-1/3 * b(q) * c(q) * b(q²) / 3 in powers of q where b(), c() are cubic AGM θ functions. A116418