19251
19251 is a number that appears in various contexts, including mathematics, computing, and popular culture. It is primarily notable as a part of the **Collatz conjecture**, a famous unsolved problem in mathematics. The conjecture involves a simple recursive sequence generated from any positive integer. If the number is odd, the next term is calculated as 3n + 1; if it is even, the next term is n/2. For the starting number 19251, the sequence begins as follows: 19251 → 57754 → 28877 → 86632 → 43316 → 21658 → 10829 → 32487 → 97462 → 48731 → 146194 → 73097 → 219292 → 109646 → 54823 → 164470 → 82235 → 246706 → 123353 → 370060 → 185030 → 92515 → 277546 → 138773 → 416320 → 208160 → 104080 → 52040 → 26020 → 13010 → 6505 → 19516 → 9758 → 4879 → 14637 → 43912 → 21956 → 10978 → 5489 → 16468 → 8234 → 4117 → 12352 → 6176 → 3088 → 1544 → 772 → 386 → 193 → 580 → 290 → 145 → 436 → 218 → 109 → 328 → 164 → 82 → 41 → 124 → 62 → 31 → 94 → 47 → 142 → 71 → 214 → 107 → 322 → 161 → 484 → 242 → 121 → 364 → 182 → 91 → 274 → 137 → 412 → 206 → 103 → 310 → 155 → 466 → 233 → 700 → 350 → 175 → 526 → 263 → 790 → 395 → 1186 → 593 → 1780 → 890 → 445 → 1336 → 668 → 334 → 167 → 502 → 251 → 754 → 377 → 1132 → 566 → 283 → 850 → 425 → 1276 → 638 → 319 → 958 → 479 → 1438 → 719 → 2158 → 1079 → 3238 → 1619 → 4858 → 2429 → 7288 → 3644 → 1822 → 911 → 2734 → 1367 → 4102 → 2051 → 6154 → 3077 → 9232 → 4616 → 2308 → 1154 → 577 → 1732 → 866 → 433 → 1300 → 650 → 325 → 976 → 488 → 244 → 122 → 61 → 184 → 92 → 46 → 23 → 70 → 35 → 106 → 53 → 160 → 80 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1.
The sequence eventually reaches the number 1, a key aspect of the conjecture. While the conjecture has
In computing, 19251 may also appear in contexts such as error codes, file identifiers, or as a