Properties of the Number -4991

Nine Hundred Ninety-One

Basics

Value: -4992 → -4991 → -4990

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 23 × 31

Divisors: 1, 7, 23, 31, 161, 217, 713, 4991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001101111111

Octal: -11577

Duodecimal: -2A7B

Hexadecimal: -137f

Square: 24910081

Square Root: 70.64700984472024

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

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood. A270732

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 369", based on the 5-celled von Neumann neighborhood. A270793

Numerators of an infinite series that converges to the negative inverse of Backhouse's constant (A088751). A368862

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

Number of partitions of n such that no part is a sum of two or more other parts. A237667

Lucas-Carmichael numbers: squarefree composite numbers k such that p | k => p+1 | k+1. A6972

Lucas-Carmichael numbers with 3 prime factors. A216925

A sequence of asymptotic density ζ(8) - 1, where ζ is the Riemann ζ function. A143034