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Ratio Atlas
Atlas › Integer Profiles › Node 223,344
223,344
24 × 33 × 11 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 714,240
Proper Divisor Sum 490,896
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #223339 ← → #223361

Radix Representation

Decimal 223344
Binary 110110100001110000 (18 bits)
Octal 0o664160
Hexadecimal 0x36870

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 47 48 54 66 72 88 94 99 108 132 141 144 176 188 198 216 264 282 297 376 396 423 432 517 528 564 594 752 792 846 1,034 1,128 1,188 1,269 1,551 1,584 1,692 2,068 2,256 2,376 2,538 3,102 3,384

Collatz Trajectory (111 steps to reach 1)

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

223,344 111,672 55,836 27,918 13,959 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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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