2,004,162

2 × 3 × 41 × 8147

2,004,162 factors as 2 × 3 × 41 × 8147. Its 16 positive divisors give a proper-divisor sum of 2,102,430, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 8147

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,106,592

Proper Divisor Sum 2,102,430

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2004137 ← → #2004209

Radix Representation

Decimal	2004162
Binary	111101001010011000010 (21 bits)
Octal	0o7512302
Hexadecimal	0x1E94C2

Divisor Catalog (16)

1 2 3 6 41 82 123 246 8,147 16,294 24,441 48,882 334,027 668,054 1,002,081 2,004,162

Collatz Trajectory (166 steps to reach 1)

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

2,004,162 1,002,081 3,006,244 1,503,122 751,561 2,254,684 1,127,342 563,671 1,691,014 845,507 2,536,522 1,268,261 3,804,784 1,902,392 951,196 475,598 237,799 713,398 356,699 1,070,098 535,049 1,605,148 802,574 401,287 1,203,862 601,931 1,805,794 902,897 2,708,692 1,354,346 677,173 2,031,520 1,015,760 507,880 253,940 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630

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