Reading some about the iCloud VS Gmail message string made me think of this question... I presently use Outlook.com for my email. It syncs flawlessly with my iOS devices. Specifically, if I am browsing on outlook.com and receive a new email, I will get a notification on my phone and the red "1" badge indicator on my iPhone's mail app. If I read or delete the email message through my web browser, the red "1" indicator badge will go away without ever opening up the mail app on my phone. iCloud email will push to my devices, but find that the badge indicator on the mail app does not function the same way, it will not automatically update unless you open up the mail app. Does anyone know why this happens?