2⁸ × 3² × 17

Prime Factor Structure

Factorization String 2^8 × 3^2 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 119,574

Proper Divisor Sum 80,406

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #39163 ← → #39181

Radix Representation

Decimal	39168
Binary	1001100100000000 (16 bits)
Octal	0o114400
Hexadecimal	0x9900

Divisor Catalog (54)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1,088 1,152 1,224 1,632 2,176 2,304 2,448 3,264 4,352 4,896 6,528 9,792 13,056 19,584 39,168

Collatz Trajectory (44 steps to reach 1)

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

39,168 19,584 9,792 4,896 2,448 1,224 612 306 153 460 230 115 346 173 520 260 130 65 196 98 49 148 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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