Atoms have a limited range of oxidation numbers due to energetic favorability. For chlorine, which has seven valence electrons, achieving oxidation states of 2 or 4 would result in a radical, as it would involve gaining or losing an even number of electrons, leaving it with an odd number. Radicals are typically high in energy and less stable. While chlorine can theoretically have oxidation numbers of 2 and 4, such states are not commonly encountered because they are energetically unfavorable. The concept of oxidation numbers is a tool for balancing redox reactions and does not reflect a measurable property of the atom itself.