227 is a 3-digit prime number. 227 has 2 factors, 1 and 227. It is the 49th prime number, and the third prime number from 201-300.
Proofs[]
Therefore, 227 is a prime number.
As an Exponent of Mersenne Number[]
2227 - 1 is divisible by 26,986,333,437,777,017, and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 211 is the second previous prime number.
- 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.
- 223 is the prime number preceding 227.
- The difference between 227 and 223 is 4. Therefore, they are cousin primes.
- 225 is a composite number. It is a square number, equal to 152.
The numbers after[]
- 229 is the odd number and prime number following 227.
- The difference between 229 and 227 is 2. Therefore, they are twin primes.
- 231 is a composite number. Its prime factorization is 3 × 7 × 11.
- Notably, 231 is a sphenic number since it has exactly three prime factors.
- 233 is the prime number following 229.
- The difference between 233 and 227 is 6. Therefore, they are sexy primes.
Trivia[]
- 227 is the smallest member of the prime triplet (227, 229, 233).
- 227 is a safe prime, since is also prime.