Is 30738311 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 738 311 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 30 738 311, the only two divisors are 1 and 30 738 311. Therefore 30 738 311 is a prime number.
As a consequence, 30 738 311 is only a multiple of 1 and 30 738 311.
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Since 30738311 is a prime number, 30738311 is also a deficient number, that is to say 30738311 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30738311 without 30738311 itself (that is 1, by definition!).