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Ratio Atlas
Atlas › Integer Profiles › Node 205,200
205,200
24 × 33 × 52 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 768,800
Proper Divisor Sum 563,600
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #205187 ← → #205201

Radix Representation

Decimal 205200
Binary 110010000110010000 (18 bits)
Octal 0o620620
Hexadecimal 0x32190

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 36 38 40 45 48 50 54 57 60 72 75 76 80 90 95 100 108 114 120 135 144 150 152 171 180 190 200 216 225 228 240 270 285 300 304 342 360 380 400 432 450

Collatz Trajectory (54 steps to reach 1)

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

205,200 102,600 51,300 25,650 12,825 38,476 19,238 9,619 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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