while for extreme values of $\beta$ (either pushers or pullers) the clusters on average form pentamers, whereas neutral and weak pullers or weak pushers are mostly form tetramers.]{}

[AP squirmers with $r_c=2.5 \sigma$ (circular symbols panel-a) show that the mean cluster size increases as $\beta$ increases when $\xi=1$, whereas it does not change significantly when $\xi=10$ or when the interaction range is shorter (circular symbols panel b).]{} As summary, on the one side, comparing the two panels in Fig. \[fig:MeanClustersBetas\], when $\xi=1$ and $10$, the mean cluster size $\langle s \rangle$ for WP squirmers with interaction range of $r_c=1.5 \sigma$ behaves in the same way as the one with a larger cutoff ($r_c=2.5 \sigma$). Therefore, when attraction does not dominate, the mean cluster size for WP squirmers is independent on the interaction range. On the other side, the mean cluster size $\langle s \rangle$ for AP squirmers with $\xi=1$ and $r_c=1.5\sigma$ (red circles in figure \[fig:MeanClustersBetas\]-(b)) does not behave in the same way than when $r_c=2.5\sigma$ (red cirlces in figure \[fig:MeanClustersBetas\]-(a)), the former showing a systematic lower value of $\langle s \rangle$ for all $\beta$ while the latter a monotonic increase of the cluster size for pullers. Finally, AP squirmers 