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Ratio Atlas
Atlas › Integer Profiles › Node 561,600
561,600
26 × 33 × 52 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5^2 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 2,204,720
Proper Divisor Sum 1,643,120
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #561599 ← → #561607

Radix Representation

Decimal 561600
Binary 10001001000111000000 (20 bits)
Octal 0o2110700
Hexadecimal 0x891C0

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 260 270

Collatz Trajectory (146 steps to reach 1)

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

561,600 280,800 140,400 70,200 35,100 17,550 8,775 26,326 13,163 39,490 19,745 59,236 29,618 14,809 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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