# Is 52 a prime number?

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

For 52, the answer is: No, 52 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 52) is as follows: 1, 2, 4, 13, 26, 52.

For 52 to be a prime number, it would have been required that 52 has only two divisors, i.e., itself and 1.

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As a consequence:

- 52 is a multiple of 1
- 52 is a multiple of 2
- 52 is a multiple of 4
- 52 is a multiple of 13
- 52 is a multiple of 26

For 52 to be a prime number, it would have been required that 52 has only two divisors, i.e., itself and 1.

### Is 52 a deficient number?

Yes, 52 is a deficient number, that is to say 52 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 52 without 52 itself (that is 1 + 2 + 4 + 13 + 26 = 46).