Properties of the Number 54804

Fifty-Four Thousand Eight Hundred Four

Basics

Value: 54803 → 54804 → 54805

Parity: even

Prime: No

Previous Prime: 54799

Next Prime: 54829

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4567

Divisors: 1, 2, 3, 4, 6, 12, 4567, 9134, 13701, 18268

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011000010100

Octal: 153024

Duodecimal: 27870

Hexadecimal: d614

Square: 3003478416

Square Root: 234.10254163507068

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

a(n) = number of solid (i.e., three-dimensional) partitions of n. A293

E.g.f. sinh(log(1+x))/exp(x). Unsigned sequence gives degrees of (finite by nilpotent) representations of Braid groups. A9578

Decimal part of n-th root of a(n) starts with digit 9. A34086

Number of permutations p of [n] whose absolute differences between consecutive elements yield up-down sequences. A348534

First term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2). A54804