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Ratio Atlas
Atlas › Integer Profiles › Node 809,200
809,200
24 × 52 × 7 × 172
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 17^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 2,360,216
Proper Divisor Sum 1,551,016
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #809189 ← → #809201

Radix Representation

Decimal 809200
Binary 11000101100011110000 (20 bits)
Octal 0o3054360
Hexadecimal 0xC58F0

Divisor Catalog (60 of 90)

1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 289 340 350 400 425 476 560 578 595 680 700 850 952 1,156 1,190 1,360 1,400 1,445 1,700 1,904 2,023 2,312 2,380 2,800 2,890 2,975 3,400

Collatz Trajectory (69 steps to reach 1)

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

809,200 404,600 202,300 101,150 50,575 151,726 75,863 227,590 113,795 341,386 170,693 512,080 256,040 128,020 64,010 32,005 96,016 48,008 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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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