Is 40173967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 173 967 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 40 173 967, the only two divisors are 1 and 40 173 967. Therefore 40 173 967 is a prime number.
As a consequence, 40 173 967 is only a multiple of 1 and 40 173 967.
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Since 40173967 is a prime number, 40173967 is also a deficient number, that is to say 40173967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40173967 without 40173967 itself (that is 1, by definition!).