The fundamental question of whether the ground state of the alkali metals is a nearly-free-electron state or a charge-density-wave (CDW) state has remained unresolved for over 30 years, ever since Overhauser first suggested the possibility of a CDW ground state in these metals in 1962. For K metal, no evidence for CDW satellites was seen in x-ray measurements at 10 K (You et al., 1987). We made x-ray measurements for a K single crystal down to 50 mK. We observed the satellite-like spots at lower temperatures below about 10 K. We also measured the temperature dependence of the magnetic susceptibility between 1.8 K and 300 K by a SQUID magnetometer. Below about 20 K the magnetic susceptibility starts to decrease and below about 10 K it decreases more rapidly with decreasing temperature. We will discuss the possibility of CDW in K metal from our experimental results.