2,004,342

2 × 3 × 334057

Starting at 2,004,342, the Collatz iteration reaches 1 after 166 steps. The first transition is 1002171; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 334057

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,008,696

Proper Divisor Sum 2,004,354

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2004341 ← → #2004347

Radix Representation

Decimal	2004342
Binary	111101001010101110110 (21 bits)
Octal	0o7512566
Hexadecimal	0x1E9576

Divisor Catalog (8)

1 2 3 6 334,057 668,114 1,002,171 2,004,342

Collatz Trajectory (166 steps to reach 1)

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

2,004,342 1,002,171 3,006,514 1,503,257 4,509,772 2,254,886 1,127,443 3,382,330 1,691,165 5,073,496 2,536,748 1,268,374 634,187 1,902,562 951,281 2,853,844 1,426,922 713,461 2,140,384 1,070,192 535,096 267,548 133,774 66,887 200,662 100,331 300,994 150,497 451,492 225,746 112,873 338,620 169,310 84,655 253,966 126,983 380,950 190,475 571,426 285,713 857,140 428,570 214,285 642,856 321,428 160,714 80,357 241,072 120,536 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282

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