hobbymath https://blog.hatena.ne.jp/hobbymath/ 趣味の研究 https://hobbymath.hatenadiary.jp/ I derived the frequency distribution of stopping times in the previous article. The histgram of stopping times from 1 to 10^8 is shown in the following cite. https://en.wikipedia.org/wiki/Collatz_conjecture#/media/File:CollatzStatistic100million.png The formula of frequency distribution is eq(1) The… 190 <iframe src="https://hatenablog-parts.com/embed?url=https%3A%2F%2Fhobbymath.hatenadiary.jp%2Fentry%2F2017%2F12%2F02%2F233905" title="Collatz conjecture: the histogram of stopping times - 趣味の研究" class="embed-card embed-blogcard" scrolling="no" frameborder="0" style="display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;"></iframe> http://chart.apis.google.com/chart?cht=tx&chl=H%28T_s%29%5Csim%5Cfrac%7BB%5Csqrt%7Bw_%7Bmax%7D%7DX%7D%7Bs%5Csqrt%7B%5Cpi%20A%7D%28B%5E2-%7Bw_%7Bmax%7D%7D%5E2%29%7D%5Cfrac%7B1%7D%7BT_s%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%5Cexp%28T_s%28-A%5Cfrac%7B%28B-w_%7Bmax%7D%29%5E2%7D%7Bw_%7Bmax%7D%7D%2B%5Ceta%29%29 Hatena Blog https://hatena.blog 2017-12-02 23:39:05 rich https://hobbymath.hatenadiary.jp/entry/2017/12/02/233905 1.0 100%