Is 338104003 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 338 104 003 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 338 104 003, the only two divisors are 1 and 338 104 003. Therefore 338 104 003 is a prime number.
As a consequence, 338 104 003 is only a multiple of 1 and 338 104 003.
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Since 338104003 is a prime number, 338104003 is also a deficient number, that is to say 338104003 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 338104003 without 338104003 itself (that is 1, by definition!).