Is 743513891 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 743 513 891 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 743 513 891, the only two divisors are 1 and 743 513 891. Therefore 743 513 891 is a prime number.
As a consequence, 743 513 891 is only a multiple of 1 and 743 513 891.
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Since 743513891 is a prime number, 743513891 is also a deficient number, that is to say 743513891 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 743513891 without 743513891 itself (that is 1, by definition!).