869,001

3 × 7 × 41381

Starting at 869,001, the Collatz iteration reaches 1 after 201 steps. The first transition is 2607004; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 41381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,324,224

Proper Divisor Sum 455,223

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #868999 ← → #869017

Radix Representation

Decimal	869001
Binary	11010100001010001001 (20 bits)
Octal	0o3241211
Hexadecimal	0xD4289

Divisor Catalog (8)

1 3 7 21 41,381 124,143 289,667 869,001

Collatz Trajectory (201 steps to reach 1)

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

869,001 2,607,004 1,303,502 651,751 1,955,254 977,627 2,932,882 1,466,441 4,399,324 2,199,662 1,099,831 3,299,494 1,649,747 4,949,242 2,474,621 7,423,864 3,711,932 1,855,966 927,983 2,783,950 1,391,975 4,175,926 2,087,963 6,263,890 3,131,945 9,395,836 4,697,918 2,348,959 7,046,878 3,523,439 10,570,318 5,285,159 15,855,478 7,927,739 23,783,218 11,891,609 35,674,828 17,837,414 8,918,707 26,756,122 13,378,061 40,134,184 20,067,092 10,033,546 5,016,773 15,050,320 7,525,160 3,762,580 1,881,290 940,645 2,821,936 1,410,968 705,484 352,742 176,371 529,114 264,557 793,672 396,836 198,418

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