Is 189242167 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 189 242 167 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 189 242 167, the only two divisors are 1 and 189 242 167. Therefore 189 242 167 is a prime number.
As a consequence, 189 242 167 is only a multiple of 1 and 189 242 167.
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Since 189242167 is a prime number, 189242167 is also a deficient number, that is to say 189242167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 189242167 without 189242167 itself (that is 1, by definition!).