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Ratio Atlas
Atlas › Integer Profiles › Node 109,872
109,872
24 × 32 × 7 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 354,640
Proper Divisor Sum 244,768
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #109859 ← → #109873

Radix Representation

Decimal 109872
Binary 11010110100110000 (17 bits)
Octal 0o326460
Hexadecimal 0x1AD30

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1,008 1,308 1,526 1,744 1,962 2,289 2,616 3,052 3,924 4,578 5,232 6,104 6,867 7,848 9,156 12,208 13,734 15,696 18,312 27,468 36,624 54,936 109,872

Collatz Trajectory (154 steps to reach 1)

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

109,872 54,936 27,468 13,734 6,867 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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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