The Olympic Challenge

This number is also used to test the erudition and logical thinking of schoolchildren and students. In one of the olympiads in mathematics was a task with the following condition:

On what number, not equal to zero, it is necessary to multiply 142857 that the number written down by identical digits turned out?

The answer to this problem lies in the principle of obtaining a given number. As it was already said, the number 142857 became known due to the division of the unit into seven (1/7 = 0.142857 and multiply one million). Therefore, we can safely say that if we multiply the given number by 7, then the answer will tend to one million, but it will not be equal to it, so we rounded the quotient to the smaller side.