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Ratio Atlas
Atlas › Integer Profiles › Node 107,640
107,640
23 × 32 × 5 × 13 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 393,120
Proper Divisor Sum 285,480
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #107621 ← → #107641

Radix Representation

Decimal 107640
Binary 11010010001111000 (17 bits)
Octal 0o322170
Hexadecimal 0x1A478

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 23 24 26 30 36 39 40 45 46 52 60 65 69 72 78 90 92 104 115 117 120 130 138 156 180 184 195 207 230 234 260 276 299 312 345 360 390 414 460 468 520 552 585 598 690 780

Collatz Trajectory (53 steps to reach 1)

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

107,640 53,820 26,910 13,455 40,366 20,183 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 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 #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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