2⁹ × 7 × 11

Prime Factor Structure

Factorization String 2^9 × 7 × 11

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 98,208

Proper Divisor Sum 58,784

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #39419 ← → #39439

Radix Representation

Decimal	39424
Binary	1001101000000000 (16 bits)
Octal	0o115000
Hexadecimal	0x9A00

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1,232 1,408 1,792 2,464 2,816 3,584 4,928 5,632 9,856 19,712 39,424

Collatz Trajectory (31 steps to reach 1)

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

39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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