Properties of the Number -99

Ninety-Nine

Basics

Value: -100 → -99 → -98

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 11

Divisors: 1, 3, 9, 11, 33, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100011

Octal: -143

Duodecimal: -83

Hexadecimal: -63

Square: 9801

Square Root: 9.9498743710662

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

Coefficient of·in minimal polynomial of the continued fraction [1ⁿ,2,1,1,1,...], where 1ⁿ means n ones. A265762

Expansion of η(q)⁵ * η(q³) * η(q⁶)⁴ / η(q²)⁴ in powers of q. A214262

Polylogarithm li(-n,-99/100) multiplied by (199ⁿ⁺¹)/100. A213157

Alternating sum σ(1)-σ(2)+σ(3)-σ(4)+...+((-1)ⁿ⁺¹)*σ(n). A68762

Expansion of ∏_k>=1 (1 - x^k)¹². A735

Signed denominators of Leibniz series for π/4. A157142

Expansion of ∏_{k > 0} 1/(1 + x^prime(k)). A48165

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

Inverse Euler transform of primes. A30010

Let p be the n-th prime, then a(n) = A/p where A is the smallest number (in absolute value) such that F_p-(p/5) == A (mod p²) with F_n = A000045(n) and (p/5) the Legendre symbol. A241014