Properties of the Number 55524

Fifty-Five Thousand Five Hundred Twenty-Four

Basics

Value: 55523 → 55524 → 55525

Parity: even

Prime: No

Previous Prime: 55511

Next Prime: 55529

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 661

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100011100100

Octal: 154344

Duodecimal: 28170

Hexadecimal: d8e4

Square: 3082914576

Square Root: 235.63531144546226

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

Numbers k such that k² contains every digit at least once. A54038

Numbers n such that n² contains every decimal digit exactly once. A156977

a(n) = 18522n - 42. A157738

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 - x³/6*(exp(x) - 1)) ). A370992

Triangle read by rows: T(n,k) is the number of closed forest meander systems with 2n crossings and k components. A380368

Longest other side of a Pythagorean triangle with n as length of one of the three sides (in fact n is a leg and a(n) the hypotenuse). A55524

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x) = 0 for n >= 1. A319945

a(n) = (8·n)!*(5·n)!*(3·n)! / ( (6·n)!*(4·n)!²*n!² ). A364305

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x)² = 0 for n >= 1. A319946

Number of nX5 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207749