2,004,339

3 × 727 × 919

2,004,339 factors as 3 × 727 × 919. Its 8 positive divisors give a proper-divisor sum of 674,701, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 727 × 919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,679,040

Proper Divisor Sum 674,701

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2004313 ← → #2004341

Radix Representation

Decimal	2004339
Binary	111101001010101110011 (21 bits)
Octal	0o7512563
Hexadecimal	0x1E9573

Divisor Catalog (8)

1 3 727 919 2,181 2,757 668,113 2,004,339

Collatz Trajectory (166 steps to reach 1)

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

2,004,339 6,013,018 3,006,509 9,019,528 4,509,764 2,254,882 1,127,441 3,382,324 1,691,162 845,581 2,536,744 1,268,372 634,186 317,093 951,280 475,640 237,820 118,910 59,455 178,366 89,183 267,550 133,775 401,326 200,663 601,990 300,995 902,986 451,493 1,354,480 677,240 338,620 169,310 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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