Is 38118293 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 118 293 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 38 118 293, the only two divisors are 1 and 38 118 293. Therefore 38 118 293 is a prime number.
As a consequence, 38 118 293 is only a multiple of 1 and 38 118 293.
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Since 38118293 is a prime number, 38118293 is also a deficient number, that is to say 38118293 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38118293 without 38118293 itself (that is 1, by definition!).