Properties of the Number -168096

One Hundred Sixty-Eight Thousand Ninety-Six

Basics

Value: -168097 → -168096 → -168095

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 17 × 103

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101001000010100000

Octal: -510240

Duodecimal: -81340

Hexadecimal: -290a0

Square: 28256265216

Square Root: 409.99512192220044

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

T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208050

a(n) = ∑_{k=0..floor(n/2)} 2^k * binomial(2·k+1,2·n-4·k+1). A387768

a(n) = 2·a(n-1) - a(n-3) + a(floor(n/2)) + a(floor(n/3)) + ... + a(floor(n/n)), where a(0) = 1, a(1) = 1, a(2) = 1. A298406

Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208047

Number of n X n 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208045

G.f. A(x) satisfies: A(x) = 1 + x·A(x⁴/(1 - x)⁴) / (1 - x)⁴. A354696