Is 30006013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 006 013 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 30 006 013, the only two divisors are 1 and 30 006 013. Therefore 30 006 013 is a prime number.
As a consequence, 30 006 013 is only a multiple of 1 and 30 006 013.
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Since 30006013 is a prime number, 30006013 is also a deficient number, that is to say 30006013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30006013 without 30006013 itself (that is 1, by definition!).