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Ratio Atlas
Atlas › Integer Profiles › Node 2,003,200
2,003,200
28 × 52 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5^2 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 4,974,074
Proper Divisor Sum 2,970,874
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #2003191 ← → #2003201

Radix Representation

Decimal 2003200
Binary 111101001000100000000 (21 bits)
Octal 0o7510400
Hexadecimal 0x1E9100

Divisor Catalog (54)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 313 320 400 626 640 800 1,252 1,280 1,565 1,600 2,504 3,130 3,200 5,008 6,260 6,400 7,825 10,016 12,520 15,650 20,032 25,040 31,300 40,064 50,080 62,600 80,128 100,160 125,200 200,320 250,400 400,640 500,800 1,001,600 2,003,200

Collatz Trajectory (153 steps to reach 1)

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

2,003,200 1,001,600 500,800 250,400 125,200 62,600 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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