Is 42717173 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 717 173 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 42 717 173, the only two divisors are 1 and 42 717 173. Therefore 42 717 173 is a prime number.
As a consequence, 42 717 173 is only a multiple of 1 and 42 717 173.
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Since 42717173 is a prime number, 42717173 is also a deficient number, that is to say 42717173 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42717173 without 42717173 itself (that is 1, by definition!).