Ray Chandler and I recently enumerated all 15095 terms of A114440. [Consider a number divided by the sum of its (base ten) digits. If it goes evenly, repeat the procedure with the quotient. Continue thus until either the quotient arrived at is not evenly divisible by the sum of its digits, or the number 1 is reached. A114440 lists numbers that reach 1.] There are no numbers that require more than 440 steps to reach 1. There are four that take exactly 440 steps, the largest being 108446423039535872993215143801708248788897518439196551865815224471960229150134987551824227831682497439642537447219998905173574636075570938726770415637566547495970738297545359694233469258248066044412311789418336202690430748419494353337428921317543676766009509734177677473770421445221936204214282140014849868367338680549949846121648321743392211378370176998833209921206655217464739831625543921041252648766408996885700710913879052486492812317563281491911243925427378877369142768640406323066824797472131147967140977568412789256710759050409656222035706522393291677890231411695839455220245836396027648440861440543344125146667943578032458072195974008992176685068654594958348314899096787905903269227303672466102253350452074656943436672832591933669507219965857301188944026241623994044261445035477186928141071384209363011062866156003328225359218417581786664993612723261535530033504534359456197194706824538502279255382972206034525278814354951808365156295137852239659582806470869382588169461649156300693104208166972689007486529034860083473459976647843779025561266682409926743436435548435186073490637074087381530918243621501901195914047236424084375593247227970958601139272341797395550196589930052572977357562548306987001964447384676858917584692194740403103300719776568071910636020311087045555588606644758684325277244510326965842198914723217408000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.