Is 309821009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 309 821 009 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 309 821 009, the only two divisors are 1 and 309 821 009. Therefore 309 821 009 is a prime number.
As a consequence, 309 821 009 is only a multiple of 1 and 309 821 009.
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Since 309821009 is a prime number, 309821009 is also a deficient number, that is to say 309821009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 309821009 without 309821009 itself (that is 1, by definition!).