1,005,891

3 × 59 × 5683

Starting at 1,005,891, the Collatz iteration reaches 1 after 134 steps. The first transition is 3017674; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 59 × 5683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,364,160

Proper Divisor Sum 358,269

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1005883 ← → #1005911

Radix Representation

Decimal	1005891
Binary	11110101100101000011 (20 bits)
Octal	0o3654503
Hexadecimal	0xF5943

Divisor Catalog (8)

1 3 59 177 5,683 17,049 335,297 1,005,891

Collatz Trajectory (134 steps to reach 1)

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

1,005,891 3,017,674 1,508,837 4,526,512 2,263,256 1,131,628 565,814 282,907 848,722 424,361 1,273,084 636,542 318,271 954,814 477,407 1,432,222 716,111 2,148,334 1,074,167 3,222,502 1,611,251 4,833,754 2,416,877 7,250,632 3,625,316 1,812,658 906,329 2,718,988 1,359,494 679,747 2,039,242 1,019,621 3,058,864 1,529,432 764,716 382,358 191,179 573,538 286,769 860,308 430,154 215,077 645,232 322,616 161,308 80,654 40,327 120,982 60,491 181,474 90,737 272,212 136,106 68,053 204,160 102,080 51,040 25,520 12,760 6,380

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