2⁴ × 5³ × 7 × 11 × 13

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 6,499,584

Proper Divisor Sum 4,497,584

Digit Sum / Digital Root 4 (Root: 4)

Adjacent Primes #2001997 ← → #2002001

Radix Representation

Decimal	2002000
Binary	111101000110001010000 (21 bits)
Octal	0o7506120
Hexadecimal	0x1E8C50

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 44 50 52 55 56 65 70 77 80 88 91 100 104 110 112 125 130 140 143 154 175 176 182 200 208 220 250 260 275 280 286 308 325 350 364 385 400 440 455 500 520 550

Collatz Trajectory (114 steps to reach 1)

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

2,002,000 1,001,000 500,500 250,250 125,125 375,376 187,688 93,844 46,922 23,461 70,384 35,192 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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