# Is 346 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 346, the answer is: No, 346 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 346) is as follows: 1, 2, 173, 346.

For 346 to be a prime number, it would have been required that 346 has only two divisors, i.e., itself and 1.

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As a consequence:

For 346 to be a prime number, it would have been required that 346 has only two divisors, i.e., itself and 1.

However, 346 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 346 = 2 x 173, where 2 and 173 are both prime numbers.

### Is 346 a deficient number?

Yes, 346 is a deficient number, that is to say 346 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 346 without 346 itself (that is 1 + 2 + 173 = 176).