Properties of the Number 72193

Seventy-Two Thousand One Hundred Ninety-Three

Basics

Value: 72192 → 72193 → 72194

Parity: odd

Prime: No

Previous Prime: 72173

Next Prime: 72211

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 × 6563

Divisors: 1, 11, 6563, 72193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101000000001

Octal: 215001

Duodecimal: 35941

Hexadecimal: 11a01

Square: 5211829249

Square Root: 268.6875508839217

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

Expansion of ∏_k>=1 (1 + x^2·k) / (1 - x^k). A279328

Values of w(k) when w(k-2), w(k-1), and w(k) are all odd, where w is A336957. A338071

Chance of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in poker is 1 in a(n) (rounded to nearest integer). A14353

a(n) = a(n-1) - a(n-2) + 3·a(n-3) with a(0) = 1, a(1) = 2 and a(2) = 4. A356849

Concatenate continued fraction expansions of the rational numbers 1/2, 1/3, 2/3, 1/4, 2/4, 3/4, 1/5, 2/5, ... A72193