Is 30002009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 002 009 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 30 002 009, the only two divisors are 1 and 30 002 009. Therefore 30 002 009 is a prime number.
As a consequence, 30 002 009 is only a multiple of 1 and 30 002 009.
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Since 30002009 is a prime number, 30002009 is also a deficient number, that is to say 30002009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30002009 without 30002009 itself (that is 1, by definition!).