# Is 606 a prime number?

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

For 606, the answer is: No, 606 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 606) is as follows: 1, 2, 3, 6, 101, 202, 303, 606.

For 606 to be a prime number, it would have been required that 606 has only two divisors, i.e., itself and 1.

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As a consequence:

- 606 is a multiple of 1
- 606 is a multiple of 2
- 606 is a multiple of 3
- 606 is a multiple of 6
- 606 is a multiple of 101
- 606 is a multiple of 202
- 606 is a multiple of 303

For 606 to be a prime number, it would have been required that 606 has only two divisors, i.e., itself and 1.

### Is 606 a deficient number?

No, 606 is not a deficient number: to be deficient, 606 should have been such that 606 is larger than the sum of its proper divisors, i.e., the divisors of 606 without 606 itself (that is 1 + 2 + 3 + 6 + 101 + 202 + 303 = 618).

In fact, 606 is an abundant number; 606 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 101 + 202 + 303 = 618). The smallest abundant number is 12.