A seven digit positive octal
is constituted by arranging the nonzero octal digits 1-7 in some order, so that:
- The octal number formed by the first two digits is divisible by 2.
- The octal number formed by the first three digits is divisible by 3.
- The octal number formed by the first four digits is divisible by 4.
- and, so on up to seven digits...
Determine all possible value(s) that X
Considering the necessary conditions of dividing even numbers- our solution in terms of parity must have the structure of OEOEOEO , thus forcing a relatively short list of possible beginnings::<o:p></o:p>
I used Multiplication And Division of
Octal Numbers Calculator (on the web) to get the next digit, getting the candidate triplets: 127 325 523 526 ....765 and then tested each one of them for possible continuation<o:p></o:p>
Not to big a task' - if someone does not err while going octal.<o:p></o:p>
My three possible answers:<o:p></o:p>