# Is 28633223 a prime number?

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

Yes, 28 633 223 is a prime number.

Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 28 633 223, the only two divisors are 1 and 28 633 223. Therefore 28 633 223 is a prime number.

As a consequence, 28 633 223 is only a multiple of 1 and 28 633 223.

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Since 28633223 is a prime number, 28633223 is also a deficient number, that is to say 28633223 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 28633223 without 28633223 itself (that is 1, by definition!).