Is 748881767 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 748 881 767 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 748 881 767, the only two divisors are 1 and 748 881 767. Therefore 748 881 767 is a prime number.
As a consequence, 748 881 767 is only a multiple of 1 and 748 881 767.
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Since 748881767 is a prime number, 748881767 is also a deficient number, that is to say 748881767 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 748881767 without 748881767 itself (that is 1, by definition!).