The concept of a k-translatable groupoid is explored in depth.Some properties of idempotent k-translatable groupoids, ORG SPELT FLOUR left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved.Necessary and sufficient conditions are found for a left cancellative k-translatable groupoid to be a semigroup.Any such semigroup is proved to be left unitary and a union disjoint copies of cyclic groups Formula 1 box of the same order.Methods of constructing k-translatable semigroups that are not left cancellative are given.