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Ratio Atlas
Atlas › Integer Profiles › Node 384,384
384,384
27 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 1,370,880
Proper Divisor Sum 986,496
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #384383 ← → #384403

Radix Representation

Decimal 384384
Binary 1011101110110000000 (19 bits)
Octal 0o1356600
Hexadecimal 0x5DD80

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 128 132 143 154 156 168 176 182 192 208 224 231 264 273 286 308 312 336 352 364 384 416 429 448 462

Collatz Trajectory (47 steps to reach 1)

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

384,384 192,192 96,096 48,048 24,024 12,012 6,006 3,003 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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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