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Ratio Atlas
Atlas › Integer Profiles › Node 4,096,032
4,096,032
25 × 3 × 42667
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 42667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,752,336
Proper Divisor Sum 6,656,304
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4096021 ← → #4096033

Radix Representation

Decimal 4096032
Binary 1111101000000000100000 (22 bits)
Octal 0o17500040
Hexadecimal 0x3E8020

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 42,667 85,334 128,001 170,668 256,002 341,336 512,004 682,672 1,024,008 1,365,344 2,048,016 4,096,032

Collatz Trajectory (61 steps to reach 1)

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

4,096,032 2,048,016 1,024,008 512,004 256,002 128,001 384,004 192,002 96,001 288,004 144,002 72,001 216,004 108,002 54,001 162,004 81,002 40,501 121,504 60,752 30,376 15,188 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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