Is 137237873 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 137 237 873 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 137 237 873, the only two divisors are 1 and 137 237 873. Therefore 137 237 873 is a prime number.
As a consequence, 137 237 873 is only a multiple of 1 and 137 237 873.
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Since 137237873 is a prime number, 137237873 is also a deficient number, that is to say 137237873 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 137237873 without 137237873 itself (that is 1, by definition!).