Is 42404017 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 404 017 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 42 404 017, the only two divisors are 1 and 42 404 017. Therefore 42 404 017 is a prime number.
As a consequence, 42 404 017 is only a multiple of 1 and 42 404 017.
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Since 42404017 is a prime number, 42404017 is also a deficient number, that is to say 42404017 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42404017 without 42404017 itself (that is 1, by definition!).