function digital_root(n, base)
p = 0
while n > 9.5 do
n = sum_digits(n, base)
p = p + 1
end
return n, p
print(digital_root(627615, 10))
print(digital_root(39390, 10))
print(digital_root(588225, 10))
print(digital_root(393900588225, 10))