Is 738752429 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 738 752 429 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 738 752 429, the only two divisors are 1 and 738 752 429. Therefore 738 752 429 is a prime number.
As a consequence, 738 752 429 is only a multiple of 1 and 738 752 429.
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Since 738752429 is a prime number, 738752429 is also a deficient number, that is to say 738752429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 738752429 without 738752429 itself (that is 1, by definition!).