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Ratio Atlas
Atlas › Integer Profiles › Node 108,108
108,108
22 × 33 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 376,320
Proper Divisor Sum 268,212
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #108107 ← → #108109

Radix Representation

Decimal 108108
Binary 11010011001001100 (17 bits)
Octal 0o323114
Hexadecimal 0x1A64C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 27 28 33 36 39 42 44 52 54 63 66 77 78 84 91 99 108 117 126 132 143 154 156 182 189 198 231 234 252 273 286 297 308 351 364 378 396 429 462 468 546 572 594 693 702

Collatz Trajectory (40 steps to reach 1)

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

108,108 54,054 27,027 81,082 40,541 121,624 60,812 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 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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