Some oxidation numbers for common elements are unusual.
In hydrides, such as NaH, LiAlH4, and BH3, hydrogen has an oxidation number of -1. These substances tend to be good reducing agents; hydrogen prefers an oxidation number of 0 or +1.
In peroxides, such as H2O2, Na2O2, and BaO2, oxygen has an oxidation number of -1. These compounds tend to be unstable, since oxygen prefers 0 or -2 as an oxidation number.
In superoxides, such as KO2, oxygen has an oxidation number of -1/2. Superoxides are quite reactive.
In some compounds, the atoms appear to have fractional oxidation numbers:
In these cases, the substance can be thought of as being made up from atoms with different, whole-number oxidation numbers. So, in Fe3O4, we think of 2 Fe atoms at +3 and one Fe atom at +2. In NaN3, we think of one nitrogen each at +1, 0, and -2. In S4O62-, we think of two sulfurs at +6 and two sulfurs at -1.