I have a Samsung SCH-i730, it used to work until more recently..with these settings I'm not having a problem.
GMAIL: You must go to your gmail accounts online that you want to download to your phone, and enable that. The way to do that is to go to
www.gmail.com, sign in to each account and do the following: Go to Settings-Forwarding and POP, select “Enable POP for all mail”. In the second option select “Keep Gmails Copy in the Inbox”. Disable forwarding should be selected, then click “Save changes”. Allow it to automatically connect! If it doesn’t connect, you don’t have the internet or what not, you can skip that part and enter the info manually:
Gmail incoming is pop.gmail.com:995 and the smtp outgoing is gmail.stmp.com:465. You must also rename the bottom name from POP3 to Gmail1. Any other Gmail accounts you can name Gmail2, Gmail3, etc..I only have two accounts I use on Gmail so I only add Gmail1 and Gmail2. Select Options, put 999 into the header limit, check Outgoing mail required authentication, and I personally have it check every 47 minutes because I don’t need an update on who emails me from there that badly.
Troubleshooting: I found that if you get too many emails in your gmail account it will stop allowing it to send emails to your i730 IF you checked the option for only downloading the last ___ days, but the way around that I found was to either uncheck that box OR better yet, to just let it automatically connect to the gmail servers with the port info and it should work fine.
Copy and pasted from my set up guide