1,086,210

2 × 3⁶ × 5 × 149

Starting at 1,086,210, the Collatz iteration reaches 1 after 209 steps. The first transition is 543105; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^6 × 5 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 2,951,100

Proper Divisor Sum 1,864,890

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1086203 ← → #1086247

Radix Representation

Decimal	1086210
Binary	100001001001100000010 (21 bits)
Octal	0o4111402
Hexadecimal	0x109302

Divisor Catalog (56)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 243 270 298 405 447 486 729 745 810 894 1,215 1,341 1,458 1,490 2,235 2,430 2,682 3,645 4,023 4,470 6,705 7,290 8,046 12,069 13,410 20,115 24,138 36,207 40,230 60,345 72,414 108,621 120,690 181,035 217,242 362,070 543,105 1,086,210

Collatz Trajectory (209 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,086,210 543,105 1,629,316 814,658 407,329 1,221,988 610,994 305,497 916,492 458,246 229,123 687,370 343,685 1,031,056 515,528 257,764 128,882 64,441 193,324 96,662 48,331 144,994 72,497 217,492 108,746 54,373 163,120 81,560 40,780 20,390 10,195 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350

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