Is 698103209 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 698 103 209 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 698 103 209, the only two divisors are 1 and 698 103 209. Therefore 698 103 209 is a prime number.
As a consequence, 698 103 209 is only a multiple of 1 and 698 103 209.
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Since 698103209 is a prime number, 698103209 is also a deficient number, that is to say 698103209 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 698103209 without 698103209 itself (that is 1, by definition!).