Sobat pintar, pernahkah kamu mendengar tentang bilangan Keith? Mungkin namanya terdengar asing, tapi bilangan ini menyimpan keunikan dan pesona tersendiri dalam dunia matematika. Bilangan Keith merupakan bilangan istimewa yang memiliki ciri khas dalam cara terbentuknya. Ingin tahu lebih dalam tentang bilangan unik ini? Yuk, kita menjelajah dunia bilangan Keith bersama!
Bilangan Keith, juga dikenal sebagai bilangan repfigit, adalah bilangan yang muncul dalam urutan yang dihasilkan dari digit-digit penyusunnya. Nah, untuk memahami definisi ini dengan lebih jelas, kita perlu memahami cara pembentukan urutan bilangan Keith.
Cara Membentuk Urutan Bilangan Keith
Sobat pintar, cara membentuk urutan bilangan Keith dimulai dengan mengambil digit-digit yang membentuk bilangan itu sendiri. Kemudian, digit-digit tersebut dijumlahkan secara berurutan untuk membentuk bilangan baru. Proses ini terus berlanjut hingga bilangan asli yang kita mulai muncul dalam urutan tersebut.
Sebagai contoh, mari kita ambil bilangan 19.
- Digit-digit penyusun bilangan 19 adalah 1 dan 9.
- Jumlah digit-digit tersebut adalah 1 + 9 = 10.
- Kemudian, kita ambil digit-digit dari bilangan 10 (yaitu 1 dan 0) dan jumlahkan, sehingga menghasilkan 1 + 0 = 1.
- Selanjutnya, kita ambil digit-digit dari bilangan 1 (yaitu 1), dan prosesnya selesai.
- Urutan yang terbentuk adalah 19, 10, 1.
Nah, bilangan 19 bukanlah bilangan Keith karena bilangan asli yang kita mulai (19) tidak muncul dalam urutan yang terbentuk.
Mencari Bilangan Keith
Mencari bilangan Keith mungkin terdengar rumit, tapi sebenarnya tidak sesulit yang dibayangkan. Sobat pintar, berikut beberapa cara untuk menemukan bilangan Keith:
1. Metode Manual
Metode manual ini cocok untuk mencari bilangan Keith dengan jumlah digit yang relatif kecil. Berikut langkah-langkahnya:
- Tentukan bilangan yang ingin kamu uji.
- Tulis digit-digit penyusun bilangan tersebut.
- Jumlahkan digit-digit tersebut secara berurutan, membentuk bilangan baru.
- Ulangi langkah 3 hingga bilangan asli muncul dalam urutan, atau hingga mencapai bilangan yang lebih besar dari bilangan asli.
- Jika bilangan asli muncul dalam urutan, maka bilangan tersebut adalah bilangan Keith.
2. Program Komputer
Untuk mencari bilangan Keith dengan jumlah digit yang lebih besar, kamu bisa menggunakan program komputer. Banyak bahasa pemrograman yang bisa digunakan untuk membuat program yang mencari bilangan Keith. Program ini akan membantu mempercepat proses pencarian dan analisis.
Contoh-Contoh Bilangan Keith
Sobat pintar, berikut beberapa contoh bilangan Keith yang menarik:
- 14
- Urutan: 14, 5, 5, 10, 1, 1, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5, 8, 1