Properties of the Number 54521

Fifty-Four Thousand Five Hundred Twenty-One

Basics

Value: 54520 → 54521 → 54522

Parity: odd

Prime: Yes

Previous Prime: 54517

Next Prime: 54539

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 54521

Divisors: 1, 54521

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010011111001

Octal: 152371

Duodecimal: 27675

Hexadecimal: d4f9

Square: 2972539441

Square Root: 233.49732332512937

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)*a(n-11) = a(n-1)*a(n-10)+a(n-5)+a(n-6) with initial terms a(1)=...=a(11)=1. A133848

Number of cubefree integers not exceeding 2ⁿ. A160113

Primes of the form p² + p - 1 when p is prime. A53185

Number of odd composites between 2ⁿ and 2^{n + 1}. A94812

Numbers k such that k!4 + 2¹⁰ is prime, where k!4 = k!!!! is the quadruple factorial number (A007662). A291351

Primes of the form n² + φ(n). A264771

E.g.f.: exp( x * ∑_n>=0 n! * 2ⁿ * xⁿ ). A393752

Triangle read by rows: T(n,k) = 1 if gcd(n, k) = 1, T(n,k) = 0 otherwise (n >= 1, 1 <= k <= n). A54521

a(n) is the number of cycles of the permutation relating the lexicographic order to the colexicographic order, for the set of pairs (i,j), 1 <= i <= j <= n. A235647

a(n) = exp( (log P(n))² - log(n!) ), multiplied by 100 and rounded to the nearest integer, where P(n) is the partition number A000041(n). A242615