Is 428059309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 428 059 309 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 428 059 309, the only two divisors are 1 and 428 059 309. Therefore 428 059 309 is a prime number.
As a consequence, 428 059 309 is only a multiple of 1 and 428 059 309.
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Since 428059309 is a prime number, 428059309 is also a deficient number, that is to say 428059309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 428059309 without 428059309 itself (that is 1, by definition!).