4,005,350

2 × 5² × 80107

Starting at 4,005,350, the Collatz iteration reaches 1 after 141 steps. The first transition is 2002675; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 80107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,450,044

Proper Divisor Sum 3,444,694

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4005347 ← → #4005367

Radix Representation

Decimal	4005350
Binary	1111010001110111100110 (22 bits)
Octal	0o17216746
Hexadecimal	0x3D1DE6

Divisor Catalog (12)

1 2 5 10 25 50 80,107 160,214 400,535 801,070 2,002,675 4,005,350

Collatz Trajectory (141 steps to reach 1)

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

4,005,350 2,002,675 6,008,026 3,004,013 9,012,040 4,506,020 2,253,010 1,126,505 3,379,516 1,689,758 844,879 2,534,638 1,267,319 3,801,958 1,900,979 5,702,938 2,851,469 8,554,408 4,277,204 2,138,602 1,069,301 3,207,904 1,603,952 801,976 400,988 200,494 100,247 300,742 150,371 451,114 225,557 676,672 338,336 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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