Is 246 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 246, the answer is: No, 246 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 246) is as follows: 1, 2, 3, 6, 41, 82, 123, 246.
For 246 to be a prime number, it would have been required that 246 has only two divisors, i.e., itself and 1.
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As a consequence:
- 246 is a multiple of 1
- 246 is a multiple of 2
- 246 is a multiple of 3
- 246 is a multiple of 6
- 246 is a multiple of 41
- 246 is a multiple of 82
- 246 is a multiple of 123
For 246 to be a prime number, it would have been required that 246 has only two divisors, i.e., itself and 1.
Is 246 a deficient number?
No, 246 is not a deficient number: to be deficient, 246 should have been such that 246 is larger than the sum of its proper divisors, i.e., the divisors of 246 without 246 itself (that is 1 + 2 + 3 + 6 + 41 + 82 + 123 = 258).
In fact, 246 is an abundant number; 246 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 41 + 82 + 123 = 258). The smallest abundant number is 12.