Explanation For Formula That Counts Number Of Numeric Characters

Nov 21, 2012

The formula below was posted recently as a way to extract a numeric substring from somewhere in larger string. When I first saw this formula, how it "came up with the goods" and so I spent some time looking at parts of it to see what they did.

Although I've made some progress, I still don't fully understand it. Heres the formula, and below Ive detailed how far I've got:

=Iferror(lookup(9.99e+307,--mid(a1,min(find({1,2,3,4,5,6,7,8,9,0},a1&1234567890)),row(indirect("1:"&len(a1))))),0)

I hope my findings below are correct:

1. The formula is returning the first substring of contiguous numeric characters from the full string in Cell A1
2. 9.99e + 307 ensures that the search value won't be exceeded by the returned value.
3. The Mid function uses Min(Find( to get the character position of the first numeric in A1 (so MID then has its first 2 parameters). So far so good.
4. Now... I cant work out where MID parameter 3 (the substring length) comes from. I suspect its the row function, but can't see how as this isn't an array formula, and without CTRL+Shift+ Enter, I could only get Row to return 1 in my experiments (giving me only the first substring digit).

How does the formula return the correct number of numeric characters, (apparently) without counting them?

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