perplexus.info :: Sequences : Just 3 digits

Just 3 digits (Posted on 2018-05-17)

A 10-digit number 2404563210 has an interesting feature: reading from left to right - any k-digit string is divisible by k.
No big deal ! IMHO there are 2492 numbers like that.

At least one of them utilizes only 3 distinct digits.

Find this number.

Submitted by Ady TZIDON

No Rating

Solution: (Hide)

19 numbers qualify (see Charlie's program):
1800008010
2404024020
3000060000
4084080840
4440002400
4444020000
4808048040
5040000000
5404504050
6636000060
8048040840
8404088040
8820000000
8880004080
8880004800
8880060060
8888040000
9060009660
9660000060

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: interesting aside	Charlie	2018-05-18 13:58:44
interesting aside	Charlie	2018-05-18 10:18:57
computer solution	Charlie	2018-05-17 12:32:17
I came up with	FrankM	2018-05-17 12:26:09

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info