Fill the grid (pattern)

Can you guess what comes in place of the question mark?

Here's a text-based version of the table:

+----+----+----+----+
|1536| 48 | 96 | 3  |
+----+----+----+----+
|384 |192 | 24 | 12 |
+----+----+----+----+
|768 | 96 | 48 | 6  |
+----+----+----+----+
|192 | ?  | 12 | 24 |
+----+----+----+----+

Answer

It's:

$384$. Starting from the top-left, go down and do a U'y at the bottom, go up, do a U'y at the top, you get: $1536, 384, 768, 192, ?, 96, 192, 48, 96, \dots$, which is divide by $4$, multiply by $2$, and repeat.