Is 31167947 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 167 947 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 31 167 947, the only two divisors are 1 and 31 167 947. Therefore 31 167 947 is a prime number.
As a consequence, 31 167 947 is only a multiple of 1 and 31 167 947.
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Since 31167947 is a prime number, 31167947 is also a deficient number, that is to say 31167947 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31167947 without 31167947 itself (that is 1, by definition!).