Properties of the Number 80828

Eighty Thousand Eight Hundred Twenty-Eight

Basics

Value: 80827 → 80828 → 80829

Parity: even

Prime: No

Previous Prime: 80819

Next Prime: 80831

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 11 ² × 167

Divisors: 1, 2, 4, 11, 22, 44, 121, 167, 242, 334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011101110111100

Octal: 235674

Duodecimal: 3A938

Hexadecimal: 13bbc

Square: 6533165584

Square Root: 284.30265563304187

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 (φ(-q³)² / (φ(-q) * φ(-q⁹)))² in powers of q where φ() is a Ramanujan θ function. A227587

a(n) = (1/24)*n*((4·n + 3)*(2·n² + 1) - 3*(-1)ⁿ). A325656

Number of length n+6 0..1 arrays with at most one downstep in every 6 consecutive neighbor pairs. A255990

Numbers n with property that 42·n+37 is in A175284. A175285

Triangle read by rows in which n-th row gives trajectory of n (omitting n itself) under the map k -> 3k-1 if k odd, k -> k/2 if k even, stopping when reach 1, 5 or 17. A80828