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Ratio Atlas
Atlas › Integer Profiles › Node 192,192
192,192
26 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 682,752
Proper Divisor Sum 490,560
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #192191 ← → #192193

Radix Representation

Decimal 192192
Binary 101110111011000000 (18 bits)
Octal 0o567300
Hexadecimal 0x2EEC0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 132 143 154 156 168 176 182 192 208 224 231 264 273 286 308 312 336 352 364 416 429 448 462 528 546

Collatz Trajectory (46 steps to reach 1)

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

192,192 96,096 48,048 24,024 12,012 6,006 3,003 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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