2² × 3 × 7 × 11 × 43

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 118,272

Proper Divisor Sum 78,540

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #39727 ← → #39733

Radix Representation

Decimal	39732
Binary	1001101100110100 (16 bits)
Octal	0o115464
Hexadecimal	0x9B34

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1,204 1,419 1,806 1,892 2,838 3,311 3,612 5,676 6,622 9,933 13,244 19,866 39,732

Collatz Trajectory (44 steps to reach 1)

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

39,732 19,866 9,933 29,800 14,900 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 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 #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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