Is 38378029 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 378 029 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 38 378 029, the only two divisors are 1 and 38 378 029. Therefore 38 378 029 is a prime number.
As a consequence, 38 378 029 is only a multiple of 1 and 38 378 029.
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Since 38378029 is a prime number, 38378029 is also a deficient number, that is to say 38378029 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38378029 without 38378029 itself (that is 1, by definition!).