unsignedToBinary(1) = 1
unsignedToBinary(3) = 11
unsignedToBinary(9) = 1001
unsignedToBinary(27) = 11011
unsignedToBinary(81) = 1010001
unsignedToBinary(243) = 11110011
unsignedToBinary(729) = 1011011001
unsignedToBinary(2187) = 100010001011
unsignedToBinary(6561) = 1100110100001
unsignedToBinary(19683) = 100110011100011
unsignedToBinary(59049) = 1110011010101001
unsignedToBinary(177147) = 101011001111111011
unsignedToBinary(531441) = 10000001101111110001
unsignedToBinary(1594323) = 110000101001111010011
unsignedToBinary(4782969) = 10010001111101101111001
unsignedToBinary(14348907) = 110110101111001001101011
unsignedToBinary(43046721) = 10100100001101011101000001
unsignedToBinary(129140163) = 111101100101000010111000011
unsignedToBinary(387420489) = 10111000101111001000101001001
unsignedToBinary(1162261467) = 1000101010001101011001111011011