Triplets with the same Final Digit Product
The FDP (Final Digit Product) of an integer n is found as follows. Mulitply the digits of n together to form a new integer. If the new integer is greater than 10 repeat the process. Eventually either a zero or a single digit will be produced. The zero doesn't count, but a single digit is the FDP. Note that it is the value of the final digit, and not the number of terms in the sequence, which gives the FDP.
Example: 6998, 432, 24, 8, giving FDP = 8.281, 282, and 283 are a triplet of successive integers whose FDP's are all the same, value 6. Can you find any other 3-digit integers which form the same kind of triplet, all having the same FDP?