2,001,789

3² × 97 × 2293

Starting at 2,001,789, the Collatz iteration reaches 1 after 91 steps. The first transition is 6005368; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 97 × 2293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,922,556

Proper Divisor Sum 920,767

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2001787 ← → #2001793

Radix Representation

Decimal	2001789
Binary	111101000101101111101 (21 bits)
Octal	0o7505575
Hexadecimal	0x1E8B7D

Divisor Catalog (12)

1 3 9 97 291 873 2,293 6,879 20,637 222,421 667,263 2,001,789

Collatz Trajectory (91 steps to reach 1)

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

2,001,789 6,005,368 3,002,684 1,501,342 750,671 2,252,014 1,126,007 3,378,022 1,689,011 5,067,034 2,533,517 7,600,552 3,800,276 1,900,138 950,069 2,850,208 1,425,104 712,552 356,276 178,138 89,069 267,208 133,604 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117

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