1,843,101

3³ × 13 × 59 × 89

Starting at 1,843,101, the Collatz iteration reaches 1 after 140 steps. The first transition is 5529304; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 59 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,024,000

Proper Divisor Sum 1,180,899

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1843099 ← → #1843111

Radix Representation

Decimal	1843101
Binary	111000001111110011101 (21 bits)
Octal	0o7017635
Hexadecimal	0x1C1F9D

Divisor Catalog (32)

1 3 9 13 27 39 59 89 117 177 267 351 531 767 801 1,157 1,593 2,301 2,403 3,471 5,251 6,903 10,413 15,753 20,709 31,239 47,259 68,263 141,777 204,789 614,367 1,843,101

Collatz Trajectory (140 steps to reach 1)

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

1,843,101 5,529,304 2,764,652 1,382,326 691,163 2,073,490 1,036,745 3,110,236 1,555,118 777,559 2,332,678 1,166,339 3,499,018 1,749,509 5,248,528 2,624,264 1,312,132 656,066 328,033 984,100 492,050 246,025 738,076 369,038 184,519 553,558 276,779 830,338 415,169 1,245,508 622,754 311,377 934,132 467,066 233,533 700,600 350,300 175,150 87,575 262,726 131,363 394,090 197,045 591,136 295,568 147,784 73,892 36,946 18,473 55,420 27,710 13,855 41,566 20,783 62,350 31,175 93,526 46,763 140,290 70,145

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