Before the upcoming cold snap.. DCA currently sits at 37.7F for the winter, 21st coldest winter since 1970 (arbitrary cutoff), and 0.7F below the 1981-2010 average. That figure is most certainly going to drop, but I'm not sure it can be overstated in how potentially prolific the upcoming cold snap will be.
12z GFS' raw output for temps at DCA has the 24th-31st averaging 17.6F, which would be the coldest on record for that time period. For a laugh we can take the Euro's output from 2 days ago (the most recently accessible chart on the weathermodels site) to find that it has DCA averaging 12.2F for that timeframe. The Euro has an obvious cold bias with snow cover and IIRC has backed off a bit from that ridiculous number, but all of this illustrates how potent the upcoming cold will be. The "tamer" solution still challenges the coldest last week of January on record.