Is 38004409 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 004 409 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 38 004 409, the only two divisors are 1 and 38 004 409. Therefore 38 004 409 is a prime number.
As a consequence, 38 004 409 is only a multiple of 1 and 38 004 409.
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Since 38004409 is a prime number, 38004409 is also a deficient number, that is to say 38004409 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38004409 without 38004409 itself (that is 1, by definition!).