The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A090061 Numbers n divisible by exactly two nontrivial permutations (rearrangements) of the digits of n, excluding all permutations that result in digit loss. 5
 571428, 867132, 874125, 923076, 5179428, 5714028, 5714280, 5714820, 5719428, 5971428, 8524710, 8571042, 8671320, 8679132, 8741250, 8749125, 8914752, 8957142, 9230760, 9239076, 37451268, 41957028, 42195708, 42713568, 42915780 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Trivial permutations are identified as those where the permutation = n itself. Digit loss occurs when a permutation has 0 in the most significant position, which drops off, leaving a number with fewer digits. For example, when n is 3105, the permutation 0315 is excluded because 315 has fewer digits than 3105. In the first million values of n, there is only one term that is divisible by three lossless nontrivial permutations. That term is 857142 which is divisible by 142857, 285714 and 428571. Note that 857142 is equal to floor((6/7)*10^6). LINKS Table of n, a(n) for n=1..25. C. Seggelin, Numbers Divisible by Digit Permutations. EXAMPLE a(4)=923076 because 923076 is divisible by both 230769 and 307692, two nontrivial permutations of 923076 with the same number of digits. CROSSREFS Cf. A090056, A090057. Sequence in context: A288085 A121169 A237173 * A146947 A206106 A232350 Adjacent sequences: A090058 A090059 A090060 * A090062 A090063 A090064 KEYWORD nonn,base AUTHOR Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003 EXTENSIONS a(5)-a(25) from Donovan Johnson, Sep 16 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 4 14:13 EST 2023. Contains 367563 sequences. (Running on oeis4.)