2⁸ × 3 × 5 × 23

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 294,336

Proper Divisor Sum 206,016

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #88301 ← → #88321

Radix Representation

Decimal	88320
Binary	10101100100000000 (17 bits)
Octal	0o254400
Hexadecimal	0x15900

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1,104 1,280 1,380 1,472 1,840 1,920 2,208 2,760 2,944 3,680 3,840

Collatz Trajectory (133 steps to reach 1)

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

88,320 44,160 22,080 11,040 5,520 2,760 1,380 690 345 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 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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