District of Columbia is about 1,776 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while District of Columbia is approximately 177 sq km, making District of Columbia 0.06% the size of New Mexico. Meanwhile, the population of New Mexico is ~2.1 million people (1.5 million fewer people live in District of Columbia).
Tip: This to-scale comparison of New Mexico vs. District of Columbia uses the Mercator projection, which distorts the size of regions near the poles.