Properties of the Number -1107

One Hundred Seven

Basics

Value: -1108 → -1107 → -1106

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 41

Divisors: 1, 3, 9, 27, 41, 123, 369, 1107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10001010011

Octal: -2123

Duodecimal: -783

Hexadecimal: -453

Square: 1225449

Square Root: 33.27160951922825

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 (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 7. A60026

Expansion of 1/(1 - x*∏_k>=1 1/(1 + k·x^k)). A299210

a(n) = exp(n) * ∑_k>=0 (-1)^k * n^k-1 * k^n-1 / k!. A334986

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 313", based on the 5-celled von Neumann neighborhood. A271203

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 467", based on the 5-celled von Neumann neighborhood. A272321

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 475", based on the 5-celled von Neumann neighborhood. A272450

G.f. A(x) satisfies: A(x) = 1/(1 + x·A(x) + x²*A(x)/(1 + x³*A(x) + x⁴*A(x)/(1 + x⁵*A(x) + x⁶*A(x)/(1 + ...)))), a continued fraction. A301410

a(n) = 13 + 12·n - n². A136316

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318