Is 749390339 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 749 390 339 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 749 390 339, the only two divisors are 1 and 749 390 339. Therefore 749 390 339 is a prime number.
As a consequence, 749 390 339 is only a multiple of 1 and 749 390 339.
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Since 749390339 is a prime number, 749390339 is also a deficient number, that is to say 749390339 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 749390339 without 749390339 itself (that is 1, by definition!).