(I'm the Flutter TL.)
According to today's benchmark numbers, we're at 4414KB on Android and 8572KB on iOS (IIRC, iOS encrypts before compressing so it can't get as good a compression).
This is for our Hello World test app (https://github.com/flutter/flutter/blob/master/examples/hell...), which is more or less the smallest app you can imagine building with Flutter unless you bypass the entire framework and only use the engine directly.