Sobat pintar, pernahkah kamu mendengar tentang bilangan Keith? Mungkin bagi sebagian orang, bilangan ini terdengar asing. Namun, di dunia matematika, bilangan Keith merupakan objek studi yang menarik dan mengundang rasa penasaran. Mengapa demikian?
Bilangan Keith bukanlah bilangan biasa. Ia memiliki sifat unik yang membuatnya istimewa. Dalam artikel ini, kita akan menjelajahi dunia bilangan Keith, mengungkap keajaibannya, dan menggali alasan mengapa ia menjadi fenomena menarik dalam matematika.
Menjelajahi Alam Bilangan Keith: Definisi dan Contoh
Bilangan Keith adalah bilangan bulat yang muncul sebagai suku dalam urutan yang dibangun dari digit-digitnya sendiri. Untuk memahami lebih lanjut, mari kita lihat definisi formalnya:
Definisi: Bilangan Keith adalah bilangan bulat positif yang muncul dalam urutan yang dihasilkan dengan mengikuti aturan berikut:
- Mulailah dengan bilangan Keith itu sendiri sebagai suku pertama.
- Suku-suku selanjutnya dalam urutan dibentuk dengan menjumlahkan digit-digit dari suku sebelumnya.
- Jika bilangan Keith muncul di suatu tempat dalam urutan ini, maka bilangan tersebut disebut sebagai bilangan Keith.
Contoh:
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Bilangan 14 adalah bilangan Keith. Berikut urutan yang dihasilkan:
14, 1 + 4 = 5, 4 + 5 = 9, 5 + 9 = 14
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Bilangan 19 juga merupakan bilangan Keith. Urutannya adalah:
19, 1 + 9 = 10, 9 + 10 = 19
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**Bilangan 14, 19, 28, 47, 61, 75, 94, 143, 197, 251, 314, 382, 461, 550, 653, 772, 911, 1102, 1313, 1543, 1802, 2101, 2432, 2803, 3213, 3663, 4153, 4683, 5253, 5863, 6513, 7203, 7933, 8703, 9513, 10363, 11253, 12183, 13153, 14163, 15213, 16293, 17413, 18573, 19773, 21013, 22293, 23613, 24973, 26373, 27813, 29303, 30833, 32403, 34013, 35663, 37353, 39083, 40853, 42663, 44513, 46403, 48333, 50303, 52313, 54363, 56453, 58583, 60753, 62963, 65213, 67503, 69833, 72203, 74613, 77063, 79553, 82083, 84653, 87263, 89913, 92603, 95333, 98103, 100913, 103763, 106653, 109583, 112553, 115563, 118613, 121703, 124833, 127993, 131193, 134433, 137713, 141033, 144393, 147793, 151233, 154713, 158233, 161793, 165393, 169033, 172713, 176433, 180193, 183993, 187833, 191713, 195633, 199593, 203593, 207633, 211713, 215833, 219993, 224193, 228433, 232713, 237033, 241393, 245793, 250233, 254713, 259233, 263793, 268393, 273033, 277713, 282433, 287193, 291993, 296833, 301713, 306633, 311593, 316593, 321633, 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