2⁶ × 3² × 5 × 31

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 316,992

Proper Divisor Sum 227,712

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #89273 ← → #89293

Radix Representation

Decimal	89280
Binary	10101110011000000 (17 bits)
Octal	0o256300
Hexadecimal	0x15CC0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 144 155 160 180 186 192 240 248 279 288 310 320 360 372 465 480 496 558 576 620 720 744 930 960 992 1,116 1,240 1,395

Collatz Trajectory (133 steps to reach 1)

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

89,280 44,640 22,320 11,160 5,580 2,790 1,395 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 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 1,186 593

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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