2² × 3 × 5 × 7² × 11

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 114,912

Proper Divisor Sum 82,572

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #32327 ← → #32341

Radix Representation

Decimal	32340
Binary	111111001010100 (15 bits)
Octal	0o77124
Hexadecimal	0x7E54

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1,078 1,155 1,470 1,540 1,617

Collatz Trajectory (67 steps to reach 1)

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

32,340 16,170 8,085 24,256 12,128 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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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