Properties of the Number 54765

Fifty-Four Thousand Seven Hundred Sixty-Five

Basics

Value: 54764 → 54765 → 54766

Parity: odd

Prime: No

Previous Prime: 54751

Next Prime: 54767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1217

Divisors: 1, 3, 5, 9, 15, 45, 1217, 3651, 6085, 10953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010111101101

Octal: 152755

Duodecimal: 27839

Hexadecimal: d5ed

Square: 2999205225

Square Root: 234.01922997907673

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) is least number > 0 such that the concatenation of a(1) ... a(n) is 13-gonal: (11n² - 9n)/2. A264842

a(n) = 81·n² + 9. A157888

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 52. A31730

Numbers k such that (298·10^k - 7)/3 is prime. A288484

a(n+2) = (2n+3)*a(n+1) + (n+1)²*a(n), a(0) = 0, a(1) = 1. A54765

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)²) with A(0)=1. A231866

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * (1 + ∑_j=0..n j^k/j!). A368759