One of the isotopes Madame Curie studied, radium-226, has a half-life of 1600 years. Determine how many years are required for amount of radium-226 on the remains of Madame Curie to reduce to 3% of the original amount present. Round the solution to the nearest whole number. Years are required for the original amount of radium-226 on Madame Curie's remains to reduce to 3% of its original amount.