{"published":"2017-12-02 23:39:05","description":"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\u2026","html":"<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 - \u8da3\u5473\u306e\u7814\u7a76\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","version":"1.0","author_url":"https://blog.hatena.ne.jp/hobbymath/","url":"https://hobbymath.hatenadiary.jp/entry/2017/12/02/233905","width":"100%","provider_url":"https://hatena.blog","author_name":"hobbymath","height":"190","blog_url":"https://hobbymath.hatenadiary.jp/","image_url":"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","blog_title":"\u8da3\u5473\u306e\u7814\u7a76","type":"rich","title":"Collatz conjecture: the histogram of stopping times","provider_name":"Hatena Blog","categories":[]}