Is 748690223 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 748 690 223 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 748 690 223, the only two divisors are 1 and 748 690 223. Therefore 748 690 223 is a prime number.
As a consequence, 748 690 223 is only a multiple of 1 and 748 690 223.
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Since 748690223 is a prime number, 748690223 is also a deficient number, that is to say 748690223 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 748690223 without 748690223 itself (that is 1, by definition!).