### Brain Teasers

# Integers of a Feather

In the finite set of integers 1 through 50000000, the following six integers share a characteristic that no other integers in the set share. What is the characteristic?

1, 36, 1225, 41616, 1413721, 48024900

1, 36, 1225, 41616, 1413721, 48024900

### Answer

They are the only triangle numbers that are also squares of whole numbers.1 = 1^2

36 = 6^2

1225 = 35^2

41616 = 204^2

1413721 = 1189^2

48024900 = 6930^2

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!