Is 10004207 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 10 004 207 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 10 004 207, the only two divisors are 1 and 10 004 207. Therefore 10 004 207 is a prime number.
As a consequence, 10 004 207 is only a multiple of 1 and 10 004 207.
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Since 10004207 is a prime number, 10004207 is also a deficient number, that is to say 10004207 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10004207 without 10004207 itself (that is 1, by definition!).