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Ratio Atlas
Atlas › Integer Profiles › Node 17,820
17,820
22 × 34 × 5 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 60,984
Proper Divisor Sum 43,164
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #17807 ← → #17827

Radix Representation

Decimal 17820
Binary 100010110011100 (15 bits)
Octal 0o42634
Hexadecimal 0x459C

Divisor Catalog (60)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1,188 1,485 1,620 1,782 1,980 2,970 3,564 4,455 5,940 8,910 17,820

Collatz Trajectory (97 steps to reach 1)

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

17,820 8,910 4,455 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102

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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