Properties of the Number 72333

Seventy-Two Thousand Three Hundred Thirty-Three

Basics

Value: 72332 → 72333 → 72334

Parity: odd

Prime: No

Previous Prime: 72313

Next Prime: 72337

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 19 × 47

Divisors: 1, 3, 9, 19, 27, 47, 57, 81, 141, 171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101010001101

Octal: 215215

Duodecimal: 35A39

Hexadecimal: 11a8d

Square: 5232062889

Square Root: 268.9479503547108

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

G.f. A(x) satisfies A(x) = 1 + (x * (1+x) * A(x))³. A378151

The number of integer partitions P of n such that either the length k of P is not a part or P has at least one part equal to 1 (or both). A229863

Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n² filled successively along rows. A72333