# Is 524 a prime number?

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

For 524, the answer is: No, 524 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 524) is as follows: 1, 2, 4, 131, 262, 524.

For 524 to be a prime number, it would have been required that 524 has only two divisors, i.e., itself and 1.

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As a consequence:

- 524 is a multiple of 1
- 524 is a multiple of 2
- 524 is a multiple of 4
- 524 is a multiple of 131
- 524 is a multiple of 262

For 524 to be a prime number, it would have been required that 524 has only two divisors, i.e., itself and 1.

### Is 524 a deficient number?

Yes, 524 is a deficient number, that is to say 524 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 524 without 524 itself (that is 1 + 2 + 4 + 131 + 262 = 400).