Is 930006013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 930 006 013 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 930 006 013, the only two divisors are 1 and 930 006 013. Therefore 930 006 013 is a prime number.
As a consequence, 930 006 013 is only a multiple of 1 and 930 006 013.
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Since 930006013 is a prime number, 930006013 is also a deficient number, that is to say 930006013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 930006013 without 930006013 itself (that is 1, by definition!).