Is 747498001 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 747 498 001 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 747 498 001, the only two divisors are 1 and 747 498 001. Therefore 747 498 001 is a prime number.
As a consequence, 747 498 001 is only a multiple of 1 and 747 498 001.
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Since 747498001 is a prime number, 747498001 is also a deficient number, that is to say 747498001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 747498001 without 747498001 itself (that is 1, by definition!).