Properties of the Number 96005

Ninety-Six Thousand Five

Basics

Value: 96004 → 96005 → 96006

Parity: odd

Prime: No

Previous Prime: 96001

Next Prime: 96013

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 13 × 211

Divisors: 1, 5, 7, 13, 35, 65, 91, 211, 455, 1055

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011100000101

Octal: 273405

Duodecimal: 47685

Hexadecimal: 17705

Square: 9216960025

Square Root: 309.84673630683926

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/∏_k=0..3 (1 - 2^k * 3^3-k * x). A383754

Expansion of g.f. 1/((1-x)*(1-4·x)*(1-9·x)*(1-12·x)). A21974

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = 2^n-k * T(n-1,k-1) + 3^k * T(n-1,k) with T(n,k) = n^k if n·k=0. A383753

Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having exactly k triangles (n >= 2, k >= 0). A90985

For k >= 1, let b(k) = ceiling( ∑_i=1..k 1/i ); a(n) = number of b(k) that are equal to n. A96005