Is 388378267 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 388 378 267 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 388 378 267, the only two divisors are 1 and 388 378 267. Therefore 388 378 267 is a prime number.
As a consequence, 388 378 267 is only a multiple of 1 and 388 378 267.
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Since 388378267 is a prime number, 388378267 is also a deficient number, that is to say 388378267 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 388378267 without 388378267 itself (that is 1, by definition!).