The effects huge amount of wind shear finally began to affect the storm itself on January 4, as Zeta's strength began to weaken. This made Tropical Storm Zeta to weaken into a very weak tropical storm. The NHC still continued to overestimate how fast Zeta would dissipate and early on January 5 they actually downgraded Zeta to a depression, which was later confirmed to have been wrong. Zeta continued to move west-northwestward, barely holding on to tropical storm status before becoming disorganized again. Zeta weakened into a tropical depression on January 6 and dissipated into a remnant later that day, finally bringing an end to the 2005 Atlantic hurricane season. But the remnant low still its identity for one more day before it dissipated 660 miles (1060 km) southeast of Bermuda.