Sunday, October 09, 2016

A small 3-balanced factorization integer

My eight digits reverse search has run into unexpected and unwelcome difficulties. I have put it on a back burner for now. The forward search to 10^12 continues on several fronts and, today, snagged on one of those fronts a 12-digit 3-balanced factorization integer! In my mind I had conjectured a 13-digit 3-balanced factorization integer but a 12-digit find came as a total surprise. This answers my query as to the existence of a 3-balanced integer smaller than the largest 2-balanced integer:

785984586660 = 2^2 * 3^2 * 5 * 7 * 13 * 149 * 307 * 1049

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