2⁵ × 3 × 5³ × 167

Prime Factor Structure

Factorization String 2^5 × 3 × 5^3 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 6,604,416

Proper Divisor Sum 4,600,416

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #2003999 ← → #2004001

Radix Representation

Decimal	2004000
Binary	111101001010000100000 (21 bits)
Octal	0o7512040
Hexadecimal	0x1E9420

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 167 200 240 250 300 334 375 400 480 500 501 600 668 750 800 835 1,000 1,002 1,200 1,336 1,500 1,670 2,000 2,004 2,400 2,505 2,672 3,000 3,340 4,000 4,008 4,175

Collatz Trajectory (114 steps to reach 1)

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

2,004,000 1,002,000 501,000 250,500 125,250 62,625 187,876 93,938 46,969 140,908 70,454 35,227 105,682 52,841 158,524 79,262 39,631 118,894 59,447 178,342 89,171 267,514 133,757 401,272 200,636 100,318 50,159 150,478 75,239 225,718 112,859 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564 180,782 90,391 271,174 135,587 406,762 203,381 610,144 305,072 152,536 76,268

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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