Is 13838129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 13 838 129 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 13 838 129, the only two divisors are 1 and 13 838 129. Therefore 13 838 129 is a prime number.
As a consequence, 13 838 129 is only a multiple of 1 and 13 838 129.
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Since 13838129 is a prime number, 13838129 is also a deficient number, that is to say 13838129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13838129 without 13838129 itself (that is 1, by definition!).