Is 484748309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 484 748 309 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 484 748 309, the only two divisors are 1 and 484 748 309. Therefore 484 748 309 is a prime number.
As a consequence, 484 748 309 is only a multiple of 1 and 484 748 309.
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Since 484748309 is a prime number, 484748309 is also a deficient number, that is to say 484748309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 484748309 without 484748309 itself (that is 1, by definition!).