Is 30731947 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 30 731 947 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 30 731 947, the only two divisors are 1 and 30 731 947. Therefore 30 731 947 is a prime number.
As a consequence, 30 731 947 is only a multiple of 1 and 30 731 947.
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Since 30731947 is a prime number, 30731947 is also a deficient number, that is to say 30731947 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30731947 without 30731947 itself (that is 1, by definition!).