Is 538704107 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 538 704 107 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 538 704 107, the only two divisors are 1 and 538 704 107. Therefore 538 704 107 is a prime number.
As a consequence, 538 704 107 is only a multiple of 1 and 538 704 107.
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Since 538704107 is a prime number, 538704107 is also a deficient number, that is to say 538704107 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 538704107 without 538704107 itself (that is 1, by definition!).