Properties of the Number -117

One Hundred Seventeen

Basics

Value: -118 → -117 → -116

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13

Divisors: 1, 3, 9, 13, 39, 117

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110101

Octal: -165

Duodecimal: -99

Hexadecimal: -75

Square: 13689

Square Root: 10.816653826391969

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

a(n) = 5ⁿ*cos(2·n*arctan(1/2)) or denominator of tan(2·n*arctan(1/2)). A66771

This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2·n+1+(-1)^n-1]/4 and T(i,k) satisfies F(n)= ∑_i=1..k T(i,k) * n^k-i/(k-1)!. A99731

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

Coefficients of the '6th-order' mock θ function φ(q). A53268

Expansion of η(q)⁹ / η(q³)³ in powers of q. A109041

Triangle, read by rows, equal to the matrix inverse of P=A113370. A114156

Expansion of 1/(1 - ∑_k>=1 μ(k)*x^k), where μ() is the Moebius function (A008683). A300663

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B). A7258

Coefficients of polynomials ( (1 -x +sqrt(x))ⁿ + (1 -x -sqrt(x))ⁿ )/2. A61176

McKay-Thompson series of class 6E for the Monster group with a(0) = 3. A105559