OFFSET
1,1
COMMENTS
There are thirty-nine terms less than 100 million - the terms in the data section along with 95846400. All of these numbers have two ways that they can be written to satisfy their binary value being contained in the binary concatenation of the three divisors; it is unknown if numbers exist that can be written in three or more ways that satisfy this criterion. The only odd number in the first thirty-nine terms is 495; it is unknown if more exist.
LINKS
Scott R. Shannon, Divisor products of the first thirty-nine terms. These are all the numbers up to 100 million.
EXAMPLE
126 is a term as 126 = 1111110_2 = 3 * 3 * 14 = 11_2 * 11_2 * 1110_2 = 3 * 7 * 6 = 11_2 * 111_2 * 110_2 and "11" + "11" + "1110" = "11111110" contains "1111110" and "11" + "111" + "110" = "11111110" contains "1111110".
3420 is a term as 3420 = 110101011100_2 = 5 * 171 * 4 = 101_2 * 10101011_2 * 100_2 = 6 * 10 * 57 = 110_2 * 1010_2 * 111001_2 and "101" + "10101011" + "100" = "10110101011100" contains "110101011100" and "110" + "1010" + "111001" = "1101010111001" contains "110101011100".
See the attached text file for other examples.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Scott R. Shannon, Jul 30 2022
STATUS
approved