Properties of the Number 54045

Fifty-Four Thousand Forty-Five

Basics

Value: 54044 → 54045 → 54046

Parity: odd

Prime: No

Previous Prime: 54037

Next Prime: 54049

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 5 × 1201

Divisors: 1, 3, 5, 9, 15, 45, 1201, 3603, 6005, 10809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001100011101

Octal: 151435

Duodecimal: 27339

Hexadecimal: d31d

Square: 2920862025

Square Root: 232.47580519271247

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

T(n,k)=Number of length-n 0..k arrays with no repeated value unequal to the previous repeated value plus one mod k+1. A268944

Number of permutations of length n which avoid the patterns 312, 1324, 3421; or avoid the patterns 312, 1324, 2341, etc. A116722

Palindromes of the form 4n + 1 that are divisible by 5. A256704

Number of length-n 0..4 arrays with no repeated value unequal to the previous repeated value plus one mod 4+1. A268940

Number of length-7 0..n arrays with no repeated value unequal to the previous repeated value plus one mod n+1. A268948

7·x - 1 Collatz-type sequence starting with a(0) = 11. A287330

Grundy function for turn-at-most-8-coins game. A54045