ចំនួនអូតូម៉ហ្វីស

ក្នុងគណិតវិទ្យា   ចំនួនអូតូម៉ហ្វីស(Automorphic number) គឺជាចំនួនដែលខ្ទង់ចុងក្រោយនៃការេរបស់វាដូចនឹងខ្ទង់ចុងក្រោយនៃលេខដើម ។ ឧទាហរណ៍ 52 = 25, 762 = 5776  និង 8906252 = 793212890625 ។

ចំនួនអូតូម៉ហ្វីសផ្តើមដោយលេខ ១​ ​, ៥ , ៦ , ២៥ , ​៧៦ , ៣៧៦​ , ៦២៥ , ៩៣៧៦.... ។​

អោយ ចំនួនអូតូម៉ហ្វីស ដែលមាន ខ្ទង់    ចំនួនអូតូម៉ហ្វីស ដែលមាន2kខ្ទង់អាចត្រូវគេសំដែងដោយរូបមន្ត   ។

យ៉ាងហោចណាស់ មានចំនួនចំនួនអូតូម៉ហ្វីសដែលមានខ្ទង់  មួយបញ្ចប់ដោយ ៥ និងមួយផ្សេងទៀតបញ្ចប់ដោយ ៦ ។ មួយក្នុងចំនោមនោះមានទំរង់  ហើងផ្សេងទៀតមានទំរង់  ។ ផលបូកនៃពីរចំនួននោះគឺ  ។

តារាងនៃចំនួនអូតូម៉ហ្វីស
 n n2 5  25 25  625 625  390625 90625  8212890625 890625  793212890625 2890625  8355712890625 12890625  166168212890625 212890625  45322418212890625 8212890625  67451572418212890625 18212890625  331709384918212890625 918212890625  843114912509918212890625 9918212890625  98370946943759918212890625 59918212890625  3590192236006259918212890625 259918212890625  67557477392256259918212890625 6259918212890625  39186576032079756259918212890625 56259918212890625  3165178397321142256259918212890625 256259918212890625 65669145682477392256259918212890625 2256259918212890625 5090708818534039892256259918212890625 92256259918212890625 8511217494096854352392256259918212890625 392256259918212890625 153864973445024588727392256259918212890625 7392256259918212890625 54645452612300005057477392256259918212890625 77392256259918212890625 5989561329000849809744977392256259918212890625 977392256259918212890625 955295622596853633012869977392256259918212890625 9977392256259918212890625 99548356235275381465044119977392256259918212890625 19977392256259918212890625 399096201360473745722856619977392256259918212890625 619977392256259918212890625 384371966908872375601191606619977392256259918212890625 6619977392256259918212890625 43824100673983991394155879106619977392256259918212890625 106619977392256259918212890625 11367819579125235975036734004106619977392256259918212890625 4106619977392256259918212890625 16864327638717175315320739859004106619977392256259918212890625 9004106619977392256259918212890625 81073936023920699329853843152771109004106619977392256259918212890625

 n n2 6  36 76 5776 376  141376 9376  87909376 109376  11963109376 7109376  50543227109376 87109376  7588043387109376 787109376  619541169787109376 1787109376  3193759921787109376 81787109376  6689131260081787109376 40081787109376  1606549657881340081787109376 740081787109376  547721051611007740081787109376 3740081787109376 13988211774267263740081787109376 43740081787109376 1913194754743017343740081787109376 743740081787109376 553149309256696143743740081787109376 7743740081787109376 59965510454276227407743740081787109376 607743740081787109376 369352453608598807478607743740081787109376 2607743740081787109376 6800327413935747244982607743740081787109376 22607743740081787109376 511110077017207231620022607743740081787109376 80022607743740081787109376 6403617750108490103144731780022607743740081787109376 380022607743740081787109376 144417182396352539175410357380022607743740081787109376 3380022607743740081787109376 11424552828858793029898066613380022607743740081787109376 893380022607743740081787109376 798127864794612716138610952755893380022607743740081787109376 5893380022607743740081787109376 34731928090872050116956482046515893380022607743740081787109376 995893380022607743740081787109376 991803624372854204655478894958610995893380022607743740081787109376

Category:គណិតវិទ្យា