ចំនួនអូតូម៉ហ្វីស
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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
[កែប្រែ]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 |