Analyses of somatic hypermutation (SHM) patterns in B-cell immunoglobulin (Ig) sequences have important basic science and clinical applications, but are often confounded by the intrinsic biases of SHM targeting on specific DNA motifs (i.e., hot- and cold-spots). Modeling these biases has been hindered by the difficulty in identifying mutated Ig sequences in vivo in the absence of selection pressures, which skew the observed mutation patterns. To generate a large number of unselected mutations, we immunized B1-8 heavy-chain transgenic mice with nitrophenyl (NP) to stimulate NP-specific λ+ germinal center B cells, and sequenced the unexpressed κ light chains using next-generation methods. Most of these κ sequences had out-of-frame junctions and were presumably uninfluenced by selection. Despite being non-functionally rearranged, they were targeted by SHM and displayed a higher mutation frequency than functional sequences. We used 39,173 mutations to construct a quantitative SHM targeting model. The model showed targeting biases that were consistent with classic hot- and cold-spots, yet revealed additional highly mutable motifs. We observed comparable targeting for functional and non-functional sequences, suggesting similar biological processes operate at both loci. However, we observed species-specific and chain-specific targeting patterns, demonstrating the need for multiple SHM targeting models. Interestingly, the targeting of C/G bases and the frequency of transition mutations at C/G bases was higher in mice compared with humans, suggesting lower levels of DNA repair activity in mice. Our models of SHM targeting provide insights into the SHM process and support future analyses of mutation patterns.