173 is a 3-digit prime number. 173 has 2 factors, 1 and 173. It is the 40th prime number, and the fifteenth prime number from 101-200.
Proofs[]
— 173 is divisible by 1.
— 173 is not divisible by 2-172.
- — 173 is divisible by 173.
Therefore, 173 is a prime number.
As an Exponent of Mersenne Number[]
2173 - 1 is divisible by 730,753, 1,505,447, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 163 is the second previous prime number.
- 165 is a composite number. Its prime factorization is 3 × 5 × 11.
- Notably, 165 is a sphenic number due to having exactly three prime factors.
- 167 is the prime number preceding 173.
- The difference between 173 and 167 is 6. Therefore, they are sexy primes.
- 169 is a square number, equal to 132.
- 171 is the odd number and composite number preceding 173. Its prime factorization is 32 × 19.
The numbers after[]
- 175 is a composite number. Its prime factorization is 52 × 7.
- 177 is also a composite number. Its prime factorization is 3 × 59.
- 179 is the prime number following 173.
- The difference between 179 and 173 is 6. Therefore, they are sexy primes.
- 181 is the prime number following 179.
In science[]
- 173 is the atomic number of a hypothetical element temporarily called unsepttrium.
Trivia[]
- 173 is a balanced prime, since the arithmetic mean of its two neighboring primes is equal to 173.
- 173 is the sum of three consecutive prime numbers (53 + 59 + 61).
- 173 is the sum of two square numbers (22 + 132).
- 173 is palindromic in base 3 (201023) and 9 (2129).