Is 42789133 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 789 133 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 42 789 133, the only two divisors are 1 and 42 789 133. Therefore 42 789 133 is a prime number.
As a consequence, 42 789 133 is only a multiple of 1 and 42 789 133.
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Since 42789133 is a prime number, 42789133 is also a deficient number, that is to say 42789133 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42789133 without 42789133 itself (that is 1, by definition!).