6,441,189

3 × 1229 × 1747

Starting at 6,441,189, the Collatz iteration reaches 1 after 209 steps. The first transition is 19323568; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1229 × 1747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,600,160

Proper Divisor Sum 2,158,971

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6441163 ← → #6441199

Radix Representation

Decimal	6441189
Binary	11000100100100011100101 (23 bits)
Octal	0o30444345
Hexadecimal	0x6248E5

Divisor Catalog (8)

1 3 1,229 1,747 3,687 5,241 2,147,063 6,441,189

Collatz Trajectory (209 steps to reach 1)

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

6,441,189 19,323,568 9,661,784 4,830,892 2,415,446 1,207,723 3,623,170 1,811,585 5,434,756 2,717,378 1,358,689 4,076,068 2,038,034 1,019,017 3,057,052 1,528,526 764,263 2,292,790 1,146,395 3,439,186 1,719,593 5,158,780 2,579,390 1,289,695 3,869,086 1,934,543 5,803,630 2,901,815 8,705,446 4,352,723 13,058,170 6,529,085 19,587,256 9,793,628 4,896,814 2,448,407 7,345,222 3,672,611 11,017,834 5,508,917 16,526,752 8,263,376 4,131,688 2,065,844 1,032,922 516,461 1,549,384 774,692 387,346 193,673 581,020 290,510 145,255 435,766 217,883 653,650 326,825 980,476 490,238 245,119

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