ceil(log2(x)) ------------- 1.. 8: 3 1.. 16: 4 1.. 32: 5 1.. 64: 6 1.. 128: 7 1.. 256: 8 1.. 512: 9 1.. 1024: 10 1.. 10: 4 1.. 100: 7 1.. 1,000: 10 1.. 10,000: 14 1.. 100,000: 17 1.. 1,000,000: 20 1..10,000,000: 24