Bispels, ChrisBoran, MuhammetMiller, Steven J.Sosis, ElielTsai, Daniel2024-06-112024-06-112024-04-24https://doi.org/10.48550/arXiv.2405.05267http://hdl.handle.net/11603/34593Around the year 2007, one of the authors, Tsai, accidentally discovered a property of the number 198 he saw on the license plate of a car. Namely, if we take 198 and its reversal 891, which have prime factorizations 198 = 2 · 3² · 11 and 891 = 3⁴ · 11 respectively, and sum the numbers appearing in each factorization getting 2 + 3 + 2 + 11 = 18 and 3 + 4 + 11 = 18, both sums are 18. Such numbers were later named v-palindromes because they can be viewed as an analogy to the usual palindromes. In this article, we introduce the concept of a v-palindrome in base b and prove their existence for infinitely many bases. We also exhibit infinite families of v-palindromes in bases p + 1 and p² + 1, for each odd prime p. Finally, we collect some conjectures and problems involving v-palindromes.22 pagesen-USCC BY 4.0 DEED Attribution 4.0 Internationalhttps://creativecommons.org/licenses/by/4.0/(Primary) 11A63, (Secondary) 11A25, 11A51Mathematics - History and OverviewMathematics - Number TheoryText