Is 12378673 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 12 378 673 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 12 378 673, the only two divisors are 1 and 12 378 673. Therefore 12 378 673 is a prime number.
As a consequence, 12 378 673 is only a multiple of 1 and 12 378 673.
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Since 12378673 is a prime number, 12378673 is also a deficient number, that is to say 12378673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 12378673 without 12378673 itself (that is 1, by definition!).