2⁴ × 3 × 5 × 7 × 11

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 71,424

Proper Divisor Sum 52,944

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #18461 ← → #18481

Radix Representation

Decimal	18480
Binary	100100000110000 (15 bits)
Octal	0o44060
Hexadecimal	0x4830

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560

Collatz Trajectory (35 steps to reach 1)

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

18,480 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 #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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