2⁸ × 3² × 5

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 39,858

Proper Divisor Sum 28,338

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #11519 ← → #11527

Radix Representation

Decimal	11520
Binary	10110100000000 (14 bits)
Octal	0o26400
Hexadecimal	0x2D00

Divisor Catalog (54)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1,152 1,280 1,440 1,920 2,304 2,880 3,840 5,760 11,520

Collatz Trajectory (24 steps to reach 1)

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

11,520 5,760 2,880 1,440 720 360 180 90 45 136 68 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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