Is 238702129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 238 702 129 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 238 702 129, the only two divisors are 1 and 238 702 129. Therefore 238 702 129 is a prime number.
As a consequence, 238 702 129 is only a multiple of 1 and 238 702 129.
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Since 238702129 is a prime number, 238702129 is also a deficient number, that is to say 238702129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 238702129 without 238702129 itself (that is 1, by definition!).