# Is 6 a prime number?

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

For 6, the answer is: No, 6 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 6) is as follows: 1, 2, 3, 6.

For 6 to be a prime number, it would have been required that 6 has only two divisors, i.e., itself and 1.

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As a consequence:

For 6 to be a prime number, it would have been required that 6 has only two divisors, i.e., itself and 1.

However, 6 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 6 = 2 x 3, where 2 and 3 are both prime numbers.

### Is 6 a deficient number?

No, 6 is not a deficient number: to be deficient, 6 should have been such that 6 is larger than the sum of its proper divisors, i.e., the divisors of 6 without 6 itself (that is 1 + 2 + 3 = 6).