Is 30748021 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 748 021 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 30 748 021, the only two divisors are 1 and 30 748 021. Therefore 30 748 021 is a prime number.
As a consequence, 30 748 021 is only a multiple of 1 and 30 748 021.
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Since 30748021 is a prime number, 30748021 is also a deficient number, that is to say 30748021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30748021 without 30748021 itself (that is 1, by definition!).