Is 928 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 928, the answer is: No, 928 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 928) is as follows: 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928.
For 928 to be a prime number, it would have been required that 928 has only two divisors, i.e., itself and 1.
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As a consequence:
- 928 is a multiple of 1
- 928 is a multiple of 2
- 928 is a multiple of 4
- 928 is a multiple of 8
- 928 is a multiple of 16
- 928 is a multiple of 29
- 928 is a multiple of 32
- 928 is a multiple of 58
- 928 is a multiple of 116
- 928 is a multiple of 232
- 928 is a multiple of 464
For 928 to be a prime number, it would have been required that 928 has only two divisors, i.e., itself and 1.
Is 928 a deficient number?
No, 928 is not a deficient number: to be deficient, 928 should have been such that 928 is larger than the sum of its proper divisors, i.e., the divisors of 928 without 928 itself (that is 1 + 2 + 4 + 8 + 16 + 29 + 32 + 58 + 116 + 232 + 464 = 962).
In fact, 928 is an abundant number; 928 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 8 + 16 + 29 + 32 + 58 + 116 + 232 + 464 = 962). The smallest abundant number is 12.