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It is interesting to see the potential maximum that can be derived from a single months Merit Source total aggregate. When I looked at it some time ago, I used a simpler approach:
- For a given integer number (not too small), the aggregate of itself and all its halvings is roughly double the initial number (i.e. 23.045 sMerits generate roughly a potential maximum of 46.090 sMerits aggregating all the halvings).
- The number of times the halving can be performed is CEILING(LOG(Number;2);1)-1 (base 2 logarithm).
- The result of each division generates =FLOOR(Number/2;1) sMerits, where Number is the number of sMerits that resulted from the previous division.
The quick way of seeing it, with a small margin of error, is simply as double the initial figure.
Note: Im not quite sure why you aggregate the extra 4 sMerits to the 46.084 based on the number of decomposed initial numbers (I mean the reason behind).