cooling fan starts running, but the Xbox stays off

My Xbox suddenly turned off. After letting it cool for 15 mins I turned it back on but it turned off again after about 2 mins since then when the power supply is connected the Xbox cooling fan starts running, sounding like a jet engine but the Xbox stays off. A slight inky burning smell is also emitted from the fan area. Is this an issue with the thermal paste or something else? Also please note that there is no light on the Xbox and I’m sure the power brick is fine as according to the Xbox guide it gives all the required lights. I have a standard Xbox 1 console. the Xbox on attempting to turn it on gives no response but very very faint sounds can be heard occasionally (the one Xbox 1 gives when it is turned on).