Is 30972607 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 972 607 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 30 972 607, the only two divisors are 1 and 30 972 607. Therefore 30 972 607 is a prime number.
As a consequence, 30 972 607 is only a multiple of 1 and 30 972 607.
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Since 30972607 is a prime number, 30972607 is also a deficient number, that is to say 30972607 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30972607 without 30972607 itself (that is 1, by definition!).