Brunei is about 1,706 times smaller than United States.

United States is approximately 9,833,517 sq km, while Brunei is approximately 5,765 sq km, making Brunei 0.06% the size of United States. Meanwhile, the population of United States is ~337.3 million people (336.9 million fewer people live in Brunei).
This to-scale comparison of United States vs. Brunei uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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