Is 16004167 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 16 004 167 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 16 004 167, the only two divisors are 1 and 16 004 167. Therefore 16 004 167 is a prime number.
As a consequence, 16 004 167 is only a multiple of 1 and 16 004 167.
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Since 16004167 is a prime number, 16004167 is also a deficient number, that is to say 16004167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 16004167 without 16004167 itself (that is 1, by definition!).