Is 842512721 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 842 512 721 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 842 512 721, the only two divisors are 1 and 842 512 721. Therefore 842 512 721 is a prime number.
As a consequence, 842 512 721 is only a multiple of 1 and 842 512 721.
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Since 842512721 is a prime number, 842512721 is also a deficient number, that is to say 842512721 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 842512721 without 842512721 itself (that is 1, by definition!).