2³ × 3² × 5 × 7 × 13

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 131,040

Proper Divisor Sum 98,280

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #32749 ← → #32771

Radix Representation

Decimal	32760
Binary	111111111111000 (15 bits)
Octal	0o77770
Hexadecimal	0x7FF8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 28 30 35 36 39 40 42 45 52 56 60 63 65 70 72 78 84 90 91 104 105 117 120 126 130 140 156 168 180 182 195 210 234 252 260 273 280 312 315 360 364

Collatz Trajectory (160 steps to reach 1)

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

32,760 16,380 8,190 4,095 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852 239,426 119,713 359,140 179,570 89,785 269,356

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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