Is 17978689 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 17 978 689 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 17 978 689, the only two divisors are 1 and 17 978 689. Therefore 17 978 689 is a prime number.
As a consequence, 17 978 689 is only a multiple of 1 and 17 978 689.
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Since 17978689 is a prime number, 17978689 is also a deficient number, that is to say 17978689 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 17978689 without 17978689 itself (that is 1, by definition!).