Great question — answering as the UphillTech team:
It's the number of different simulations run by Samaritan assets on Sameen Shaw. The purpose is not explicitly defined, but from context within the episode it seems that: She is being run through the same scenario multiple times, after changes/updates are made to a chip inserted behind her ear. As one operative says to Greer in the room where Shaw is held "This time it took a whole extra hour for her to shoot you in the head", it can be inferred that the purpose of these scenarios is to achieve a chip capable of controlling Shaw to the extent that she can be used as a Samaritan asset to find/betray the Machine, Finch, Reese and Root. However, that's just my interpretation - I'm sure the...
Full answer by Dave: https://movies.stackexchange.com/a/53199 (CC BY-SA 3.0).
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