Polypropylene wax and process for the production thereof

A polypropylene wax comprised of 80 to 99.75% by weight, based on the total polymer, of propylene units and 0.25 to 20% by weight, based on the total polymer, of units which are derived from ethylene or an olefin containing not less than 4 carbon atoms of the formula R.sup.15 --CH.dbd.CH--R.sup.16, in which R.sup.15 and R.sup.16 are identical or different and are a hydrogen atom or an alkyl radical containing 1 to 28 carbon atoms or R.sup.15 and R.sup.16 form a ring containing 4 to 28 carbon atoms with the carbon atoms joining them, which polypropylene wax has a molar mass M.sub.w of 1,000 to 50,000 g/mol, a polydispersity M.sub.w /M.sub.n of 1.8 to 5.0, a viscosity number of 2 to 60 cm.sup.3 /g, a melting point of 50.degree. to 150.degree. C., an enthalpy of fusion .DELTA.H of less than 100 J/g, a dropping point of 60.degree. to 160.degree. C., a melt viscosity at 170.degree. C. of 100 to 20,000 mPa.s and a regular distribution of the comonomer units in the polymer chain, the mean block length n being less than 1.25.