2³ × 3² × 5 × 23

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 28,080

Proper Divisor Sum 19,800

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8273 ← → #8287

Radix Representation

Decimal	8280
Binary	10000001011000 (14 bits)
Octal	0o20130
Hexadecimal	0x2058

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1,035 1,380 1,656 2,070 2,760 4,140 8,280

Collatz Trajectory (127 steps to reach 1)

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

8,280 4,140 2,070 1,035 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 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 1,186 593 1,780 890 445 1,336 668 334

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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