Is 38167673 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 167 673 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 38 167 673, the only two divisors are 1 and 38 167 673. Therefore 38 167 673 is a prime number.
As a consequence, 38 167 673 is only a multiple of 1 and 38 167 673.
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Since 38167673 is a prime number, 38167673 is also a deficient number, that is to say 38167673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38167673 without 38167673 itself (that is 1, by definition!).