2⁶ × 3 × 7 × 43 × 67

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 43 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 12,159,488

Proper Divisor Sum 8,287,424

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3872059 ← → #3872101

Radix Representation

Decimal	3872064
Binary	1110110001010101000000 (22 bits)
Octal	0o16612500
Hexadecimal	0x3B1540

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 67 84 86 96 112 129 134 168 172 192 201 224 258 268 301 336 344 402 448 469 516 536 602 672 688 804 903 938 1,032 1,072 1,204 1,344 1,376 1,407 1,608 1,806 1,876 2,064 2,144 2,408 2,752

Collatz Trajectory (48 steps to reach 1)

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

3,872,064 1,936,032 968,016 484,008 242,004 121,002 60,501 181,504 90,752 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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