Is 987174107 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 987 174 107 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 987 174 107, the only two divisors are 1 and 987 174 107. Therefore 987 174 107 is a prime number.
As a consequence, 987 174 107 is only a multiple of 1 and 987 174 107.
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Since 987174107 is a prime number, 987174107 is also a deficient number, that is to say 987174107 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 987174107 without 987174107 itself (that is 1, by definition!).
