2³ × 3 × 5 × 7 × 11

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 34,560

Proper Divisor Sum 25,320

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #9239 ← → #9241

Radix Representation

Decimal	9240
Binary	10010000011000 (14 bits)
Octal	0o22030
Hexadecimal	0x2418

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1,155 1,320 1,540 1,848

Collatz Trajectory (34 steps to reach 1)

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

9,240 4,620 2,310 1,155 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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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