# Numbers that stand for 4 tuples

Is it feasible to compose a *distinctive * number that is composed of 4 tuples. Among which shows the instructions of the setup of the various other 3.

Claim, $9*4*7 = 252 \ . \ 252$ *stands out * in the feeling that you can not get it as a reproduction of 3 distinctive solitary figure numbers apart from 9, 4, 7. Currently, the trouble is 252 can suggest, any one of the 3 orders. Claim, 947, 497, 974. Exists any kind of means to add a feeling of direction/arrangement to it?

Yes. Attempt developing your number similar to this:

Suppose your 3 - tuple has values (a, b, c). After that create your distinctive number as adheres to:

2 ^ a * 3 ^ b * 5 ^ c

Since these are prime bases, this number will certainly be one-of-a-kind for any kind of 3 values and also will certainly be recoverable, because you can factor your number and also come back all 3 numbers and also their orders. To expand this to any kind of n - tuple simply make use of even more prime number bases.