# Is 836 a prime number?

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

For 836, the answer is: No, 836 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 836) is as follows: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836.

For 836 to be a prime number, it would have been required that 836 has only two divisors, i.e., itself and 1.

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As a consequence:

- 836 is a multiple of 1
- 836 is a multiple of 2
- 836 is a multiple of 4
- 836 is a multiple of 11
- 836 is a multiple of 19
- 836 is a multiple of 22
- 836 is a multiple of 38
- 836 is a multiple of 44
- 836 is a multiple of 76
- 836 is a multiple of 209
- 836 is a multiple of 418

For 836 to be a prime number, it would have been required that 836 has only two divisors, i.e., itself and 1.

### Is 836 a deficient number?

No, 836 is not a deficient number: to be deficient, 836 should have been such that 836 is larger than the sum of its proper divisors, i.e., the divisors of 836 without 836 itself (that is 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 = 844).

In fact, 836 is an abundant number; 836 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 418 = 844). The smallest abundant number is 12.