There exists a number oddity with 3 different 4-digit numbers. One is 9801, where (98 + 01)^2 = 9801. It also works with 3025: (30+25)^2 = 3025.
What is the other number?
What is the smallest 6-digit number that would work?
(in other words, in a 6-digit number abcdef: abcdef=(abc+def)^2)

The other 4 digit number is  2025.

The 6-digit numbers that would work are  494209 and 998001

Edited on June 19, 2023, 10:37 am

Posted by K Sengupta on 2008-03-03 10:58:40