Is 31742017 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 742 017 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 31 742 017, the only two divisors are 1 and 31 742 017. Therefore 31 742 017 is a prime number.
As a consequence, 31 742 017 is only a multiple of 1 and 31 742 017.
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Since 31742017 is a prime number, 31742017 is also a deficient number, that is to say 31742017 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31742017 without 31742017 itself (that is 1, by definition!).