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381654729 (Posted on 2022-07-23) Difficulty: 4 of 5
The above number is known to many mathematicians and appeared as a solution to a flooble puzzle called “digits 1-9” thus implying that the number is a zeroless pandigital.
The solution showed another feature - this number is also poly-divisible, I.e. as a nine digit number it is divisible by nine, erase the last digit It becomes divisible by 8,…and so on.
There many features connected with our number, but the most important , which I ask you to

PROVE: 381654729 is a Friedman number

Definition and examples @ OEIS A036057
REM: proving does not mean to find somewhere the answer, but to solve it.

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Hint? | Comment 2 of 6 |
(In reply to Hint? by Ady TZIDON)

give us a hint.
  Posted by Charlie on 2022-07-25 15:50:41

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