District of Columbia is about 974 times smaller than Washington.

Washington is approximately 172,348 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.1% the size of Washington. Meanwhile, the population of Washington is ~6.7 million people (6.1 million fewer people live in District of Columbia).
Tip: This to-scale comparison of Washington vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.