Is 736742491 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 736 742 491 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 736 742 491, the only two divisors are 1 and 736 742 491. Therefore 736 742 491 is a prime number.
As a consequence, 736 742 491 is only a multiple of 1 and 736 742 491.
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Since 736742491 is a prime number, 736742491 is also a deficient number, that is to say 736742491 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 736742491 without 736742491 itself (that is 1, by definition!).