2⁵ × 3 × 5 × 41

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 63,504

Proper Divisor Sum 43,824

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #19661 ← → #19681

Radix Representation

Decimal	19680
Binary	100110011100000 (15 bits)
Octal	0o46340
Hexadecimal	0x4CE0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1,230 1,312 1,640 1,968 2,460 3,280 3,936 4,920 6,560 9,840 19,680

Collatz Trajectory (74 steps to reach 1)

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

19,680 9,840 4,920 2,460 1,230 615 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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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