Properties of the Number 80006

Eighty Thousand Six

Basics

Value: 80005 → 80006 → 80007

Parity: even

Prime: No

Previous Prime: 79999

Next Prime: 80021

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 109 × 367

Divisors: 1, 2, 109, 218, 367, 734, 40003, 80006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100010000110

Octal: 234206

Duodecimal: 3A372

Hexadecimal: 13886

Square: 6400960036

Square Root: 282.8533188774705

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

Maximal coefficient of (1 + x)³ * (1 + x²)³ * (1 + x³)³ * ... * (1 + xⁿ)³. A369709

a(n) is the constant term in expansion of ∏_{k = 1..n} (x^k + 1/x^k)³. A124995

Coefficient of xⁿ in A(x)ⁿ is A087457(n) for n>=1. A88929

Irregular triangle read by rows: T(n,k), n >= 1, -(n-1) <= k <= n-1, = number of partitions of n with rank k. A63995

Number of integer partitions of n of even rank. A340601

Number of n X n rational {0,1}-matrices of determinant 0. A46747

Number of integer partitions of n of odd rank. A340692

Triangle of number of partitions of n with nonnegative Dyson rank r=0,1,...,n-1. A105806

Heinz numbers of integer partitions of negative rank. A340788

Heinz numbers of integer partitions of positive rank. A340787