Properties of the Number 55321

Fifty-Five Thousand Three Hundred Twenty-One

Basics

Value: 55320 → 55321 → 55322

Parity: odd

Prime: No

Previous Prime: 55313

Next Prime: 55331

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 1129

Divisors: 1, 7, 49, 1129, 7903, 55321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000011001

Octal: 154031

Duodecimal: 28021

Hexadecimal: d819

Square: 3060413041

Square Root: 235.2041666297602

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

x values in the solution to 11·x² - 10 = y². A198947

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n binomial(k·j,n-j)/j!. A361277

Expansion of e.g.f. exp(x * (1+x)⁴). A361280

Number of nX3 0..1 arrays with exactly n+3-1 having value 1 and no three 1s forming an isosceles right triangle. A272960

Expansion of 1/((1-3x)(1-4x)(1-8x)(1-9x)). A28043

Expansion of e.g.f. (1 + x)*(1 + x²/2)*cosh(x). A388428

Number of labeled trees with n nodes and 9 leaves. A55321

Number of length n+4 0..9 arrays with no five consecutive elements with pattern ababa or abbba (with a≠b) and new values 0..9 introduced in 0..9 order. A244701

Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298723