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Ratio Atlas
Atlas › Integer Profiles › Node 20,196
20,196
22 × 33 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 60,480
Proper Divisor Sum 40,284
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20183 ← → #20201

Radix Representation

Decimal 20196
Binary 100111011100100 (15 bits)
Octal 0o47344
Hexadecimal 0x4EE4

Divisor Catalog (48)

1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1,122 1,188 1,683 1,836 2,244 3,366 5,049 6,732 10,098 20,196

Collatz Trajectory (87 steps to reach 1)

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

20,196 10,098 5,049 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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