2¹¹ × 3 × 5

Prime Factor Structure

Factorization String 2^11 × 3 × 5

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 98,280

Proper Divisor Sum 67,560

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #30713 ← → #30727

Radix Representation

Decimal	30720
Binary	111100000000000 (15 bits)
Octal	0o74000
Hexadecimal	0x7800

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1,024 1,280 1,536 1,920 2,048 2,560 3,072 3,840 5,120 6,144 7,680 10,240 15,360 30,720

Collatz Trajectory (28 steps to reach 1)

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

30,720 15,360 7,680 3,840 1,920 960 480 240 120 60 30 15 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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