λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,005,200
2,005,200
24 × 32 × 52 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 6,971,094
Proper Divisor Sum 4,965,894
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2005193 ← → #2005207

Radix Representation

Decimal 2005200
Binary 111101001100011010000 (21 bits)
Octal 0o7514320
Hexadecimal 0x1E98D0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 557 600 720 900 1,114 1,200 1,671 1,800 2,228 2,785 3,342 3,600 4,456 5,013 5,570 6,684 8,355 8,912 10,026 11,140 13,368

Collatz Trajectory (65 steps to reach 1)

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

2,005,200 1,002,600 501,300 250,650 125,325 375,976 187,988 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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