American Samoa is about 6,613 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while American Samoa is approximately 224 sq km, making American Samoa 0.02% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (664,788 fewer people live in American Samoa).
Tip: This to-scale comparison of Alaska vs. American Samoa uses the Mercator projection, which distorts the size of regions near the poles.