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Ratio Atlas
Atlas › Integer Profiles › Node 38,016
38,016
27 × 33 × 11
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 122,400
Proper Divisor Sum 84,384
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #38011 ← → #38039

Radix Representation

Decimal 38016
Binary 1001010010000000 (16 bits)
Octal 0o112200
Hexadecimal 0x9480

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1,056 1,152 1,188 1,408 1,584 1,728 2,112 2,376 3,168 3,456 4,224 4,752 6,336

Collatz Trajectory (80 steps to reach 1)

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

38,016 19,008 9,504 4,752 2,376 1,188 594 297 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 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 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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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