Properties of the Number -93

Ninety-Three

Basics

Value: -94 → -93 → -92

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 31

Divisors: 1, 3, 31, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011101

Octal: -135

Duodecimal: -79

Hexadecimal: -5d

Square: 8649

Square Root: 9.643650760992955

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 - k·x^k)^k. A266964

Expansion of q^1/24 * η(q) / η(q²) in powers of q. A81362

a(n) = -a(n-1) - 2·a(n-2). A1607

Dirichlet inverse of the gcd-sum function (A018804). A101035

Expansion of (1 - φ(-q)⁴)/ 8 in powers of q where φ() is a Ramanujan θ function. A109506

G.f.: Im((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292043

Expansion of 1/(1 - 3·x + 4·x²). A49072

Dirichlet convolution of A006368 with the Dirichlet inverse of A006369, where A006368 is the "amusical permutation", and A006369 is its inverse permutation. A349376

a(n) = 1-2n. A165747

Consider an empty list L, and for k = 1, 2, ...: if L contains a pair of consecutive terms summing to k, then let (u, v) be the first such pair: replace the two terms u and v in L with a single term k and set a(u) = -k and a(v) = +k, otherwise append k to L. A326936