Is 742072063 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 742 072 063 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 742 072 063, the only two divisors are 1 and 742 072 063. Therefore 742 072 063 is a prime number.
As a consequence, 742 072 063 is only a multiple of 1 and 742 072 063.
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Since 742072063 is a prime number, 742072063 is also a deficient number, that is to say 742072063 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 742072063 without 742072063 itself (that is 1, by definition!).