From the Top to the Bottom of the Main Sequence: A Complete Mass Function of the Young Open Cluster M35

We present very deep and accurate photometry of the open cluster M35 (VRIc filters). We have covered a region of 27.5x27.5 square arcmin. The data range from Ic=12.5 to 23.5 mag, and the color intervals are 0.4≤(V-I)c≤3.0, 0.5≤(R-I)c≤2.5. Roughly, these values span from 1.6 M_ down to the substellar limit. By using the location of the stars on color-magnitude and color-color diagrams, we have selected candidate members of this cluster. We have merged our sample with previously published data and obtained a color-magnitude diagram for the complete stellar population of the cluster, covering the spectral range early B - mid M. The Mass Function increases monotonically, when plotted in a log-log form, until it reaches ~0.8 M_ (α=2.59). It remains shallower for less massive stars (α=0.81 for 0.8-0.2 M_), whereas a decrease ins observed for stars close to the substellar regime. The total mass of the cluster is ~1600 M_ in the area covered by this study.