Is 38009437 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 009 437 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 38 009 437, the only two divisors are 1 and 38 009 437. Therefore 38 009 437 is a prime number.
As a consequence, 38 009 437 is only a multiple of 1 and 38 009 437.
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Since 38009437 is a prime number, 38009437 is also a deficient number, that is to say 38009437 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38009437 without 38009437 itself (that is 1, by definition!).