Is 21316721 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 21 316 721 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 21 316 721, the only two divisors are 1 and 21 316 721. Therefore 21 316 721 is a prime number.
As a consequence, 21 316 721 is only a multiple of 1 and 21 316 721.
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Since 21316721 is a prime number, 21316721 is also a deficient number, that is to say 21316721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 21316721 without 21316721 itself (that is 1, by definition!).