Is 73004993 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 73 004 993 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 73 004 993, the only two divisors are 1 and 73 004 993. Therefore 73 004 993 is a prime number.
As a consequence, 73 004 993 is only a multiple of 1 and 73 004 993.
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Since 73004993 is a prime number, 73004993 is also a deficient number, that is to say 73004993 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 73004993 without 73004993 itself (that is 1, by definition!).