Articles

The combination of the safe

The combination of the safe


Joe McCaco has accessed the home of a rich businessman with the intention of depriving him of the safe. He has the help of a buddy who has given him a clue about the combination that opens the safe.

It turns out that the combination is formed by a cyclic 6-digit number such that if we multiply it by any integer from 1 to 6 the result is another number that contains exactly the same digits but in different order.

Can you help McCaco discover the safe combination?

Solution

This is the number 142857. When multiplied by any number from 1 to 6, the digits of the result will always be the same and even following the same sequence, the only thing that changes the number where it begins.