223 is a 3-digit prime number. 223 has 2 factors, 1 and 223. It is the 48th prime number, and the second prime number from 201-300.
Proofs[]
— 223 is divisible by 1.
— 223 is not divisible by 2-222.
- — 223 is divisible by 223.
As an Exponent of Mersenne Number[]
2223 - 1 is divisible by 18,287, 196,687, 1,466,449, 2,916,841, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 199 is the second previous prime number.
- 201 is a composite number. Its prime factorization is 3 × 67.
- 203 is also a composite number. Its prime factorization is 7 × 29.
- 205 is another composite number. Its prime factorization is 5 × 41.
- 207 is yet another composite number. Its prime factorization is 32 × 23.
- 209 is yet another composite number. Its prime factorization is 11 × 19.
- 211 is the prime number preceding 223.
- 213 is a composite number. Its prime factorization is 3 × 71.
- 215 is also a composite number. Its prime factorization is 5 × 43.
- 217 is another composite number. Its prime factorization is 7 × 31.
- 219 is yet another composite number. Its prime factorization is 3 × 73.
- 221 is yet another composite number. Its prime factorization is 13 × 17.
The numbers after[]
- 225 is a composite number. It is a square number, equal to 152.
- 227 is the prime number following 223.
- The difference between 227 and 223 is 4. Therefore, they are cousin primes.
- 229 is the prime number following 227.
- The difference between 229 and 223 is 6. Therefore, they are sexy primes.
Trivia[]
- 223 is a lucky prime.
- 223 is a left-truncatable prime and a left-and-right-truncatable prime.