My apologies for giving some incomplete and misleading information in my original post. The hardware device to which I refer is a Redeye by Thinkflood. A Redeye is a wifi-connected device which emits IR (infrared) signals to control A/V devices such as TVs, DVRs, DVD players, etc... A Redeye can be controlled two ways: (1) by an app running on an iOS device (boo, hiss) or (2) via web browser. Note: also controllable via an Android native app coming circa 3d Qtr. 2011 (yea!!!). For control via a webpage, the Redeye acts as a webserver, much like most/all modern Routers do. Just as you browse into a secure page on your router to configure it, you browse into a page on the Redeye to control it (and, by extension, control A/V devices in your home).
The Redeye uses Ports 80, 81 and 82. Ports 80 and 81 are used by the iOS device app. Ports 80 and 82 are used by the webpage control. If you browse to [Redeye's IP] with no port specified, within a few seconds it will redirect you to [Redeye's IP]:82 which is where you'll control it for the rest of the "session."
The IP address of my Redeye is 192.168.3.112.
On a PC, if I browse to http://192.168.3.112 (no port specified), within a few seconds, it will redirect me to http://192.168.3.112:82. Or I can simply start at http://192.168.3.112:82 using a bookmark. Doing either will let me control my Redeye (and then control my TV, DVR, etc...), but starting at the Port 82 address is faster, because I don't have to wait for a redirect.
On my Droid-X, if I browse to http://192.168.3.112 *OR* http://192.168.3.112:82, the page never loads. This is true whether I use the default browser, Dolphin HD, Opera or Miren browsers for Android.
I can't tell if browsing to http://192.168.3.112 on my Droid-X is successful initially, but seems to fail because of the immediate redirect. I am sure that my Droid-X won't load http://192.168.3.112:82 whether through re=direct or starting from that address.
So back to the original question... why won't my Droid-X load a webpage on a non-standard port?