Is 73427749 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 73 427 749 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 73 427 749, the only two divisors are 1 and 73 427 749. Therefore 73 427 749 is a prime number.
As a consequence, 73 427 749 is only a multiple of 1 and 73 427 749.
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Since 73427749 is a prime number, 73427749 is also a deficient number, that is to say 73427749 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 73427749 without 73427749 itself (that is 1, by definition!).