Properties of the Number 54265

Fifty-Four Thousand Two Hundred Sixty-Five

Basics

Value: 54264 → 54265 → 54266

Parity: odd

Prime: No

Previous Prime: 54251

Next Prime: 54269

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 10853

Divisors: 1, 5, 10853, 54265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001111111001

Octal: 151771

Duodecimal: 274A1

Hexadecimal: d3f9

Square: 2944690225

Square Root: 232.94849216082082

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

Number of partitions of n if there are two kinds of 1, two kinds of 2 and two kinds of 3. A98

Expansion of (1 + x - x³ - 2·x⁴)/(1 - x² - x³ - x⁴ - x⁵). A109544

Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P₆. A91769

a(n) = ∑_{k=0..floor(5·n/14)} binomial(k,5·n-14·k). A389718

Triangle read by rows: T(n, k) = binomial(3·n, k-1) + binomial(3·n, n-k). A156003

Number of protruded partitions of n with largest part at most 10. A5116

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 22. A31610

E.g.f.: ∏_k>=1 (1 + x^{k*(k + 1}/2) / (k*(k + 1)/2)!). A334385

Sum of composite numbers between successive primes. A54265

Decimal expansion of (π!)! = γ(γ(π+1)+1). A111197