Is 748077217 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 748 077 217 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 748 077 217, the only two divisors are 1 and 748 077 217. Therefore 748 077 217 is a prime number.
As a consequence, 748 077 217 is only a multiple of 1 and 748 077 217.
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Since 748077217 is a prime number, 748077217 is also a deficient number, that is to say 748077217 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 748077217 without 748077217 itself (that is 1, by definition!).