Is 16735967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 16 735 967 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 16 735 967, the only two divisors are 1 and 16 735 967. Therefore 16 735 967 is a prime number.
As a consequence, 16 735 967 is only a multiple of 1 and 16 735 967.
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Since 16735967 is a prime number, 16735967 is also a deficient number, that is to say 16735967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 16735967 without 16735967 itself (that is 1, by definition!).