Is 30420001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 420 001 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 30 420 001, the only two divisors are 1 and 30 420 001. Therefore 30 420 001 is a prime number.
As a consequence, 30 420 001 is only a multiple of 1 and 30 420 001.
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Since 30420001 is a prime number, 30420001 is also a deficient number, that is to say 30420001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30420001 without 30420001 itself (that is 1, by definition!).