Is 422133079 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 422 133 079 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 422 133 079, the only two divisors are 1 and 422 133 079. Therefore 422 133 079 is a prime number.
As a consequence, 422 133 079 is only a multiple of 1 and 422 133 079.
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Since 422133079 is a prime number, 422133079 is also a deficient number, that is to say 422133079 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 422133079 without 422133079 itself (that is 1, by definition!).