Not a hard number, but it's about 720 (I think, or 780 or something like that) to upwards of about 1100.

What... No no... That's the Ay OR SS Sasuke.

The SS Itachi is 1-3 frags for every rare pull. 3 if you're really lucky. So Assuming you get Ay or SS Sasuke at 900 scrolls for example. So just for calculation sake, assume of 60 scrolls per rare (it can rage from 40 to 80), so 900 will give you 15 rares, which means 1-3 frags per time. So that means by time you get Ay or SS Sasuke, you probably collected only about 15-45 SS Itachi frags. There's even a chance you have pulled BOTH Ay and SS Sasuke, meaning that's about 1600 to 2000 scrolls, and you still haven't collected enough frags for SS Itachi.