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Ratio Atlas
Atlas › Integer Profiles › Node 320,400
320,400
24 × 32 × 52 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,124,370
Proper Divisor Sum 803,970
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #320389 ← → #320401

Radix Representation

Decimal 320400
Binary 1001110001110010000 (19 bits)
Octal 0o1161620
Hexadecimal 0x4E390

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 89 90 100 120 144 150 178 180 200 225 240 267 300 356 360 400 445 450 534 600 712 720 801 890 900 1,068 1,200 1,335 1,424 1,602 1,780 1,800 2,136 2,225

Collatz Trajectory (140 steps to reach 1)

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

320,400 160,200 80,100 40,050 20,025 60,076 30,038 15,019 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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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