My math may be off, but it seems like 2000 joules to cool the volume of air 1 degree C vs 6,000,000 for the same volume of water. It's the stuff in the fridge

My math may be off, but it seems like 2000 joules to cool the volume of air 1 degree C vs 6,000,000 for the same volume of water. It's the stuff in the fridge that takes the initial work, repeatedly exchanging the air is maybe a rounding error?