Properties of the Number 19221

Nineteen Thousand Two Hundred Twenty-One

Basics

Value: 19220 → 19221 → 19222

Parity: odd

Prime: No

Previous Prime: 19219

Next Prime: 19231

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 43 × 149

Divisors: 1, 3, 43, 129, 149, 447, 6407, 19221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100010101

Octal: 45425

Duodecimal: B159

Hexadecimal: 4b15

Square: 369446841

Square Root: 138.63982111933063

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

Poincaré series [or Poincare series] (or Molien series) for a certain five-fold wreath product P₅. A91726

a(n) = 20·n² + 1. A158493

a(n) = 961·n + 1. A158414

Number of strings of numbers x(i=1..6) in 0..n with sum i²*x(i)² equal to n²*36. A184244

a(n) = 2·A090495(n) - 1. A274297

Binomial transform of A166242. A166452

Square array A(n, k) = A388283(A246278(n, k)), read by falling antidiagonals. Numerator of (3·n-σ(n))/n, as applied to the prime shift array. A388284

Square array A(n, k) = 3·A246278(n, k) - σ(A246278(n, k)), read by falling antidiagonals. A033885(n) = 3·n-σ(n) as applied to the prime shift array. A388285

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RSN = RUB-17 K4Na12[Zn8Si28O72].18H2O starting with a T3 atom. A19221