Dipole moment (unit Debye) is a measure of polarity. For example, a solvent having a dipole moment of 1.7 D is more polar than a solvent having a dipole moment of 1.2 D.
Lower alcohols, with general formula R-OH where R is alkyl group ( which contain C1, C2, C3), are completely miscible with water (a highly polar solvent).
As the size of the alkyl group R (which is nonpolar or hydrophobic) increases, the solubility of alcohols in water decreases until there is no solubility. An alcohol, such as cetyl alcohol, which contains 16 carbons "together with their hydrogens" , has a large hydrophobic part so it is insoluble in water.