Properties of the Number 80091

Eighty Thousand Ninety-One

Basics

Value: 80090 → 80091 → 80092

Parity: odd

Prime: No

Previous Prime: 80077

Next Prime: 80107

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 809

Divisors: 1, 3, 9, 11, 33, 99, 809, 2427, 7281, 8899

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011011011

Octal: 234333

Duodecimal: 3A423

Hexadecimal: 138db

Square: 6414568281

Square Root: 283.0035335468446

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

Euler transform of A000292. A335

Alternating sum along antidiagonals of the array of A129952 and its iterated differences. A130002

a(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n. A2219

Irregular triangle read by rows: coefficients c(n,k) (n>=2, 0<=k<= floor((n-2)/2)) in formula for number of restricted partitions. A213074

Square array read by antidiagonals: T(n,m) (n>=1, m>=0) is the number of partitions of mn that are the sum of m not necessarily distinct partitions of n. A213086

a(n) is the number of partitions of 3n that can be obtained by adding together three (not necessarily distinct) partitions of n. A2220

a(n) is the number of partitions of 4n that can be obtained by adding together four (not necessarily distinct) partitions of n. A2221

a(n) is the number of partitions of 5n that can be obtained by adding together five (not necessarily distinct) partitions of n. A2222

Second diagonal of A213074. A213075

Right-hand diagonal of A213074. A213076