Properties of the Number 2223

Two Thousand Two Hundred Twenty-Three

Basics

Value: 2222 → 2223 → 2224

Parity: odd

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 19

Divisors: 1, 3, 9, 13, 19, 39, 57, 117, 171, 247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100010101111

Octal: 4257

Duodecimal: 1353

Hexadecimal: 8af

Square: 4941729

Square Root: 47.148700936505136

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Start with 1; for n>1, replace n with the concatenation of its prime factors in increasing order. A37276

Number of partitions of n into parts >= 4. A8484

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

a(n) = n concatenated with n + 1. A1704

In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1. A6877

Numbers using only digits 2 and 3. A32810

Number of partitions of n in which the least part is 4. A26797

Expansion of 1/(1 - x - x⁴ + x⁶). A174522

Number of integer partitions of n whose distinct parts are pairwise coprime. A304709