Is 73742113 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 73 742 113 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 73 742 113, the only two divisors are 1 and 73 742 113. Therefore 73 742 113 is a prime number.
As a consequence, 73 742 113 is only a multiple of 1 and 73 742 113.
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Since 73742113 is a prime number, 73742113 is also a deficient number, that is to say 73742113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 73742113 without 73742113 itself (that is 1, by definition!).