An understanding of how gas-phase radicals in the earth's atmosphere become incorporated with liquid-phase cloud droplets is a vital part of understanding the chemical budgeting of these highly reactive species. Recent studies have suggested that hydroperoxy radicals (HO2) have an affinity for binding to a water surface. The calculations presented here are used to extricate the components of the attractive contribution of the intermolecular interactions that are responsible for the unusually strong binding between the hydroperoxy radical and a water surface. The analyses reveal that, for the binding of an HO2 radical to a water surface, the two water molecules nearest the radical are the most relevant to the bonding and the addition of other water molecules has little affect on the bonding between the radical and the two nearest waters. These results suggest that, once the HO2 is bound to the surface, the binding is a relatively local phenomenon. Identifying the properties responsible for the strong attraction is an important result that can be used to identify other radical systems whose chemistry might be impacted by the presence of water.