Is 30004967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 004 967 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 30 004 967, the only two divisors are 1 and 30 004 967. Therefore 30 004 967 is a prime number.
As a consequence, 30 004 967 is only a multiple of 1 and 30 004 967.
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Since 30004967 is a prime number, 30004967 is also a deficient number, that is to say 30004967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30004967 without 30004967 itself (that is 1, by definition!).