A three digit number and reversal puzzle

  • Thread starter Thread starter K Sengupta
  • Start date Start date
  • Tags Tags
    Puzzle
AI Thread Summary
A positive 3-digit decimal number exists such that when divided by 3, reversing the digits of the result and subtracting 1 yields the original number. The known solution is 741. Attempts to find the next greater number with this property have been challenging, with one user mentioning difficulties in programming due to overflow issues, suggesting that subsequent numbers may be significantly larger than 3 digits. The search for the next valid number continues, but no specific candidates have been identified yet.
K Sengupta
Messages
113
Reaction score
0
A positive 3-digit decimal (base 10) number is such that if we divide the number by 3, reverse the digits of the result, and then subtract 1, we will obtain the original number.

Determine the number. What is the next greater number (possibly with more than 3 digits) with this property?
 
Last edited:
Physics news on Phys.org
741
Divide by 3: 247
Reverse the digits: 742
Subtract 1: 741, the original number.
I don't know the next number.
 
The next one after 741 is
7425741
 
I tried to do a Visual Basic program to know all this numbers, but I kept getting overflowing.. I guess the other numbers are just really big.
 

Thread 'Status Update by JRMichler'

Just ONCE, I wanted to see a post titled Status Update that was not a blatant, annoying spam post by a new member. So here it is. Today was a good day here in Northern Wisconsin. Fall colors are here, no mosquitos, no deer flies, and mild temperature, so my morning run was unusually nice. Only two meetings today, and both went well. The deer that was road killed just down the road two weeks ago is now fully decomposed, so no more smell. Somebody has a spike buck skull for their...
View full post »
Thread 'RIP George F. Smoot III (1945-2025)'

Thread 'RIP George F. Smoot III (1945-2025)'

https://en.wikipedia.org/wiki/George_Smoot https://physics.berkeley.edu/people/faculty/george-smoot-iii https://apc.u-paris.fr/fr/memory-george-fitzgerald-smoot-iii https://elements.lbl.gov/news/honoring-the-legacy-of-george-smoot/ https://www.nobelprize.org/prizes/physics/2006/smoot/facts/ https://www.aps.org/publications/apsnews/200611/nobel.cfm https://inspirehep.net/authors/988263 Structure in the COBE Differential Microwave Radiometer First-Year Maps (Astrophysical Journal...
View full post »

Similar threads

I What is the probability that the product of the digits is odd?
Replies
13
Views
2K
News The US Digital Service, aka DOGE
Replies
2
Views
1K
Finding number of significant figures
Replies
11
Views
1K
A Mapping and Recovering Combinations: A Challenge in Combination Theory
Replies
11
Views
4K
Show that any composite three-digit number must have a prime factor
Replies
9
Views
2K
Photo Contest - Counting Numbers (2/3-2/9)
Replies
19
Views
2K
MHB Find Integer $n$: Reversed Digits = 999 - Prime < 6000
Replies
7
Views
2K
MHB Representation of signed integers of base B
Replies
17
Views
2K
Given an integer, find the probability its cube ends in 111
Replies
19
Views
2K
How does one convert a decimal float to binary using the multiply by 2 method?
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top