peace be upon you brother
i think there are like hundreds of thousands of hadiths ( claimed to be from the prophet Mohammad ) and like other thousands from the Imams after the prophet (claimed to be from them) so huge number of hadiths ,
so i think there is no need for counting and correcting every hadith ,what matters is to to know the difference between the fake and the right ones by comparing them to God's words in the Holly Qoran