Is 17001997 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 17 001 997 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 17 001 997, the only two divisors are 1 and 17 001 997. Therefore 17 001 997 is a prime number.
As a consequence, 17 001 997 is only a multiple of 1 and 17 001 997.
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Since 17001997 is a prime number, 17001997 is also a deficient number, that is to say 17001997 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 17001997 without 17001997 itself (that is 1, by definition!).