Is 38007241 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 007 241 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 38 007 241, the only two divisors are 1 and 38 007 241. Therefore 38 007 241 is a prime number.
As a consequence, 38 007 241 is only a multiple of 1 and 38 007 241.
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Since 38007241 is a prime number, 38007241 is also a deficient number, that is to say 38007241 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38007241 without 38007241 itself (that is 1, by definition!).