Properties of the Number -199

One Hundred Ninety-Nine

Basics

Value: -200 → -199 → -198

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 199

Divisors: 1, 199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000111

Octal: -307

Duodecimal: -147

Hexadecimal: -c7

Square: 39601

Square Root: 14.106735979665885

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

Fibonacci-type sequence based on subtraction: a(0) = 1, a(1) = 2 and a(n) = a(n-2) - a(n-1). A61084

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

5th differences of partition numbers A000041. A81095

Expansion of (-x² + 298·x - 1)/(x³ - 99·x² + 99·x - 1). A269549

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

Deficiency of n permuted by A163511: a(n) = A033879(A163511(n)) = 2·A163511(n) - σ(A163511(n)). A324185

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 3. A60022

G.f.: ∏_n>=1 (1 - Lucas(n)*xⁿ + (-1)ⁿ*x^2·n) where Lucas(n) = A000204(n). A203860

G.f.: ∑_n>=0 (xⁿ - 1)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A243919

Sum of A342002 and its Dirichlet inverse. A342419