Is 999 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 999, the answer is: No, 999 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 999) is as follows: 1, 3, 9, 27, 37, 111, 333, 999.
For 999 to be a prime number, it would have been required that 999 has only two divisors, i.e., itself and 1.
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As a consequence:
- 999 is a multiple of 1
- 999 is a multiple of 3
- 999 is a multiple of 9
- 999 is a multiple of 27
- 999 is a multiple of 37
- 999 is a multiple of 111
- 999 is a multiple of 333
For 999 to be a prime number, it would have been required that 999 has only two divisors, i.e., itself and 1.
Is 999 a deficient number?
Yes, 999 is a deficient number, that is to say 999 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 999 without 999 itself (that is 1 + 3 + 9 + 27 + 37 + 111 + 333 = 521).