MathDB
6 = 2*3? No way!

Source: 2021 AMC 10B #6

November 17, 2021

Problem Statement

The least positive integer with exactly 20212021 distinct positive divisors can be written in the form m6km \cdot 6^k, where mm and kk are integers and 66 is not a divisor of mm. What is m+k?m+k? (<spanclass=latexbold>A</span>)47(<spanclass=latexbold>B</span>)58(<spanclass=latexbold>C</span>)59(<spanclass=latexbold>D</span>)88(<spanclass=latexbold>E</span>)90(<span class='latex-bold'>A</span>)\: 47\qquad(<span class='latex-bold'>B</span>) \: 58\qquad(<span class='latex-bold'>C</span>) \: 59\qquad(<span class='latex-bold'>D</span>) \: 88\qquad(<span class='latex-bold'>E</span>) \: 90