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Berikut pemetaan (mapping) formasi angka Enampuluh Enam (66) kedalam piramida data dari diagram berupa konsep, detil bagan dan modul² yang dipakai sebagai dasar pemrograman.
Sebelum masuk ke detail, berikut ini daftar keistimewaan angka 66 menurut wikipedia:
- 66 adalah: sejumlah sphenic, angka segitiga, angka heksagonal, nomor semi-meandrik
- angka semiperfect , menjadi kelipatan dari angka sempurna .
- nomor Erd – Woods , karena dimungkinkan untuk menemukan urutan 66 bilangan bulat berturut-turut sedemikian rupa sehingga setiap anggota dalam berbagi faktor dengan anggota pertama atau terakhir
- palindromik dan repdigit pada basis 10 (66 10 ), 21 (33 21 ) dan 32 (22 32 )
- Simak untuk keistimewaan² lainnya.
id: 66
---+-----+-----
1 | 1 | 5
---+-----+-----
2 | 6 | 8
---+-----+-----
3 | 9 | 9
---+-----+-----
4 | 10 | 12
---+-----+-----
+-----+-----+-----+-----+-----+-----+-----+-----+
| 102 | 1 | - | - | - | - | - | {36}|{139}
+-----+-----+-----+-----+-----+-----+-----+-----+
| - | - | 200 | - | - | - | - | 48 |{248}
+-----+-----+-----+-----+-----+-----+-----+-----+
| - | - | - | 40 | 1 | - | - | 73 |{114}
+-----+-----+-----+-----+-----+-----+-----+-----+
| - | - | - | - | - | 200 | - | 86 |{286}
+-----+-----+-----+-----+-----+-----+-----+-----+
| - | - | - | - | - | - | 50 | 107 |{157}
+-----+-----+-----+-----+-----+-----+-----+-----+
| 66 | 30 | 8 | 50 | 30 | 8 | - | 594 | 786
+-----+-----+-----+-----+-----+-----+-----+-----+
168 | 31 208 90 | 31 208 50 | 943 | 1729
Permutations:
943 - 594 = 349, 786 - 594 = 192
31 + 208 + 90 + 31 + 208 + 50 = 618
102 + 1 + 200 + 40 + 1 + 200 + 50 = 594
66 + (31,8,50,31,8) = 78 + (50+66) » 786
168+618=786, 786+157=943, 786+786+157=1729
Dari prosesnya maka selain angka tujuh (7), tigabelas (13), dan angka batas yaitu sembilan belas (19) maka angka duapuluh lima (25) merupakan satu²nya pelengkap tingkatan formasi ini.
Sequence of Permutations:
1st step: 21 & 7 » (2,1) & 7 = {37} = 12th prime
2nd step: 13 & 36 » 13 & (3,6) = {139} = 34th prime
3rd step: 25 & 11 & 13 » 2 & (1,3) & (5,3) = {248}
4th step: 51 & 19 » (5,1) & 19 = 619 = {114}th prime
5th step: 25 & 66 » 2 & (6,2) & 5 = {285} = 19 x 15 » 1+5=6
6th step: (25,6) & (66,15) » 15 & (66|31) = {157} (terminated)
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