Is 428059349 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 428 059 349 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 428 059 349, the only two divisors are 1 and 428 059 349. Therefore 428 059 349 is a prime number.
As a consequence, 428 059 349 is only a multiple of 1 and 428 059 349.
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Since 428059349 is a prime number, 428059349 is also a deficient number, that is to say 428059349 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 428059349 without 428059349 itself (that is 1, by definition!).