Is 493697317 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 493 697 317 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 493 697 317, the only two divisors are 1 and 493 697 317. Therefore 493 697 317 is a prime number.
As a consequence, 493 697 317 is only a multiple of 1 and 493 697 317.
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Since 493697317 is a prime number, 493697317 is also a deficient number, that is to say 493697317 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 493697317 without 493697317 itself (that is 1, by definition!).