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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A347410 Numbers with property that when divided by the sum of their digits the quotient and remainder are the same. 0

%I #29 Aug 30 2021 21:11:26

%S 16,39,55,96,187

%N Numbers with property that when divided by the sum of their digits the quotient and remainder are the same.

%H Rene Morningstar, Quora blog post <a href="https://www.quora.com/The-numbers-16-39-55-96-187-have-a-curious-property-each-of-them-when-divided-by-the-sum-of-its-digits-gives-a-remainder-equal-to-the-quotient-How-do-I-find-all-such-numbers">#1626147897</a>, Aug 15 2021. Joe Zbiciak and several others gave a proof that the sequence is complete.

%t Select[Range[200000],Differences[QuotientRemainder[#,Total[ IntegerDigits[ #]]]] == {0}&]

%K nonn,fini,full,base

%O 1,1

%A _Harvey P. Dale_, Aug 30 2021

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)