Is 398721013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 398 721 013 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 398 721 013, the only two divisors are 1 and 398 721 013. Therefore 398 721 013 is a prime number.
As a consequence, 398 721 013 is only a multiple of 1 and 398 721 013.
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Since 398721013 is a prime number, 398721013 is also a deficient number, that is to say 398721013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 398721013 without 398721013 itself (that is 1, by definition!).