When magma cools, crystallized magnetic minerals can record the ambient magnetic field. If these mineral grains are sufficiently small, they may retain that magnetic record for billions of years. This phenomenon enables paleomagnetists to study the direction and intensity of ancient magnetic fields on Earth and other planets. A key task is determining the number of magnetic particles required to reliably record such a field, as well as understanding the influence of grain size and shape on this process. Here, we present a dataset from the study titled "Efficiency of Thermoremanent Magnetization Acquisition in Vortex-State Particle Assemblies," which integrates micromagnetic modeling and probabilistic magnetic state partitioning to address these questions. The dataset includes codes for the micromagnetic simulations and data from all the simulations conducted.