What do you mean by 'not regular'? Are the cells not all perfect squares, is the distribution of the cells not rectangular, or are there cases where the 3 x 3 groupings will leave left-overs?
If the cells are squares and the distribution of squares lends itself to 3 x 3 groupings across the surface then...
Use the create fishnet tool to generate a feature class of cells that are 1500m x 1500m. Then use a spatial join to populate the original cells with the OID of the 1500 x 1500 cells.