# Is 782 a prime number?

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

For 782, the answer is: No, 782 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 782) is as follows: 1, 2, 17, 23, 34, 46, 391, 782.

For 782 to be a prime number, it would have been required that 782 has only two divisors, i.e., itself and 1.

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As a consequence:

- 782 is a multiple of 1
- 782 is a multiple of 2
- 782 is a multiple of 17
- 782 is a multiple of 23
- 782 is a multiple of 34
- 782 is a multiple of 46
- 782 is a multiple of 391

For 782 to be a prime number, it would have been required that 782 has only two divisors, i.e., itself and 1.

### Is 782 a deficient number?

Yes, 782 is a deficient number, that is to say 782 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 782 without 782 itself (that is 1 + 2 + 17 + 23 + 34 + 46 + 391 = 514).