2⁵ × 3 × 5 × 61

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 93,744

Proper Divisor Sum 64,464

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #29269 ← → #29287

Radix Representation

Decimal	29280
Binary	111001001100000 (15 bits)
Octal	0o71140
Hexadecimal	0x7260

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1,220 1,464 1,830 1,952 2,440 2,928 3,660 4,880 5,856 7,320 9,760 14,640 29,280

Collatz Trajectory (134 steps to reach 1)

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

29,280 14,640 7,320 3,660 1,830 915 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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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