Is 50142613 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 50 142 613 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 50 142 613, the only two divisors are 1 and 50 142 613. Therefore 50 142 613 is a prime number.
As a consequence, 50 142 613 is only a multiple of 1 and 50 142 613.
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Since 50142613 is a prime number, 50142613 is also a deficient number, that is to say 50142613 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 50142613 without 50142613 itself (that is 1, by definition!).