Properties of the Number 55320

Fifty-Five Thousand Three Hundred Twenty

Basics

Value: 55319 → 55320 → 55321

Parity: even

Prime: No

Previous Prime: 55313

Next Prime: 55331

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 461

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000011000

Octal: 154030

Duodecimal: 28020

Hexadecimal: d818

Square: 3060302400

Square Root: 235.2020408074726

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) = (n - 1)*(4·n² - 8·n + 5). A317297

a(n) = a(n-1) + a(n-4), starting 1,1,1,3. A14101

Triangle, read by rows, where T(n,k) is the coefficient of q^nk-k in the squared q-factorial of n. A129276

a(n) = 1728·n + 24. A157325

Column 1 of triangle A129276; a(n) is the coefficient of qⁿ in the squared q-factorial of n+1. A129277

Number T(n,k) of parity alternating permutations of [n] with exactly k descents from odd to even numbers; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A232187

Numbers k such that k² +/- (k-1) and (k-1)*k² +/- 1 are all primes. A239326

a(n) = ∑_k=0..n binomial(n+k+2,n-k) * Fibonacci(k+1). A390824

Growth series for affine Coxeter group (or affine Weyl group) D₅. A266760

Number of labeled trees with n nodes and 8 leaves. A55320