Answer
0.50𝝁g of iron-59
Work Step by Step
For every 44 days it loses half of its mass. The first 44 days it drops to 4 𝝁g, after another 44 days it drops to 2 𝝁g, another 44 days it drops to 1 𝝁g, the last 44 days (out of 176) it drops to 0.50 𝝁g.