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Ratio Atlas
Atlas › Integer Profiles › Node 42,672
42,672
24 × 3 × 7 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 126,976
Proper Divisor Sum 84,304
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #42667 ← → #42677

Radix Representation

Decimal 42672
Binary 1010011010110000 (16 bits)
Octal 0o123260
Hexadecimal 0xA6B0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1,016 1,524 1,778 2,032 2,667 3,048 3,556 5,334 6,096 7,112 10,668 14,224 21,336 42,672

Collatz Trajectory (49 steps to reach 1)

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

42,672 21,336 10,668 5,334 2,667 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 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 #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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