When a 3 M= =protostar forms, it starts out at the top of the Hayashi track with a luminosity of 4,000 L= = and a temperature of 3600 K. What is its radius at this point (give the answer in units of R= =), and how many times larger is it at this stage compared to its radius as a main-sequence star, which is about 2.5 R= =? For reference, the Sun's temperature is 5800 K.
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