Properties of the Number 22633

Twenty-Two Thousand Six Hundred Thirty-Three

Basics

Value: 22632 → 22633 → 22634

Parity: odd

Prime: No

Previous Prime: 22621

Next Prime: 22637

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 1741

Divisors: 1, 13, 1741, 22633

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100001101001

Octal: 54151

Duodecimal: 11121

Hexadecimal: 5869

Square: 512252689

Square Root: 150.44268011438774

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

Numbers which converge to 2592 under repeated application of the powertrain map of A133500. A135384

Odd numbers n for which the number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224533

Numbers n for which number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224303

Strong pseudoprimes to base 59. A20285

Numbers whose set of base-12 digits is {1,2}. A32932

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array. A219810

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = sqrt(2). A279587

Expansion of ∏_m>=1 (1 + m·q^m)⁵. A22633

Number of (1+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252616

Number of 5 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297435