"A average FAT 32 partition has sectors that are roughly between 32k and 14k in size (depending on size of drive and partition)"
This is not right.
A sector on a hard drive is 512 bytes in size.
The smallest addressable area is a cluster.
The cluster size on FAT32 will be 1, 8, 16,32 or 64 sectors.
"A 30GB hard drive working with this figure would therefore have 2,142,857 sectors."
Again an error a 30gb drive will have 30GB/512 = 58,593,750 sectors