  The hyperconfluent third-order supersymmetric quantum mechanics, in which all
the factorization energies tend to a common value, is analyzed. It will be
shown that the final potential as well can be achieved by applying
consecutively a confluent second-order and a first-order SUSY transformations,
both with the same factorization energy. The technique will be applied to the
free particle and the Coulomb potential.
