1,855,742

2 × 7 × 41 × 53 × 61

Starting at 1,855,742, the Collatz iteration reaches 1 after 233 steps. The first transition is 927871; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 53 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,374,784

Proper Divisor Sum 1,519,042

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1855741 ← → #1855747

Radix Representation

Decimal	1855742
Binary	111000101000011111110 (21 bits)
Octal	0o7050376
Hexadecimal	0x1C50FE

Divisor Catalog (32)

1 2 7 14 41 53 61 82 106 122 287 371 427 574 742 854 2,173 2,501 3,233 4,346 5,002 6,466 15,211 17,507 22,631 30,422 35,014 45,262 132,553 265,106 927,871 1,855,742

Collatz Trajectory (233 steps to reach 1)

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

1,855,742 927,871 2,783,614 1,391,807 4,175,422 2,087,711 6,263,134 3,131,567 9,394,702 4,697,351 14,092,054 7,046,027 21,138,082 10,569,041 31,707,124 15,853,562 7,926,781 23,780,344 11,890,172 5,945,086 2,972,543 8,917,630 4,458,815 13,376,446 6,688,223 20,064,670 10,032,335 30,097,006 15,048,503 45,145,510 22,572,755 67,718,266 33,859,133 101,577,400 50,788,700 25,394,350 12,697,175 38,091,526 19,045,763 57,137,290 28,568,645 85,705,936 42,852,968 21,426,484 10,713,242 5,356,621 16,069,864 8,034,932 4,017,466 2,008,733 6,026,200 3,013,100 1,506,550 753,275 2,259,826 1,129,913 3,389,740 1,694,870 847,435 2,542,306

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