How would our Sun's luminosity change if we increased its temperature 3 times?

The luminosity of our Sun could be derived by the Stefan-Boltzmann, otherwise known as Luminosity law. It says the total energy produced by a unit surface per unit time area (power per unit area) is: (power per unit area)=(Stefan-Boltzmann constant)(Temperature)⁴ That means the luminosity of the Sun is L=(Surface area of the Sun)(Stefan-Boltzmann constant)*(Temperature)⁴. We are only changing the temperature by a factor 3. That means the luminosity will increase by a factor of 3⁴, since the temperature is present in the formula above with its fourth power. Therefore, the luminosity would increase 81 times.