Properties of the Number -5096

Ninety-Six

Basics

Value: -5097 → -5096 → -5095

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 ² × 13

Divisors: 1, 2, 4, 7, 8, 13, 14, 26, 28, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001111101000

Octal: -11750

Duodecimal: -2B48

Hexadecimal: -13e8

Square: 25969216

Square Root: 71.386273190299

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

Result of using the primes as coefficients in an infinite polynomial series in·and then expressing this series as (1+x)(1+a(1)*x)(1+a(2)*x²) ... . A147541

Array T(n, k) = (-1)^n+k*(n+k-2)!*(2·n+2·k-2)!/(n!*k!*(2·n-1)!*(2·k-1)!), with T(0, 0) = 1, T(0, 1) = T(1, 0) = -1, read by antidiagonals. A132339

Expansion of log(1+sinh(x))*exp(x). A9353

arcsinh(tanh(x)*cos(x))=x-6/3!*x³+100/5!*x⁵-5096/7!*x⁷... A12690

A Chebyshev transform of the Padovan-Jacobsthal numbers. A99492

Number of symmetric relations on n nodes. A666

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

Number of partitions of 2n in which every part is <n+1; also, the number of partitions of 2 into rational numbers a/b such that 0<a<=b<=n and b divides n. A209816

Number of partitions of n with no part larger than n/2. Also partitions of n into n/2 or fewer parts. A110618

Number of partitions of n such that the number of parts and the greatest part are coprime. A200750