2⁹ × 3 × 5 × 43

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,080,288

Proper Divisor Sum 750,048

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #330233 ← → #330241

Radix Representation

Decimal	330240
Binary	1010000101000000000 (19 bits)
Octal	0o1205000
Hexadecimal	0x50A00

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1,032 1,280 1,290 1,376 1,536 1,720 1,920 2,064 2,560 2,580 2,752 3,440 3,840 4,128

Collatz Trajectory (109 steps to reach 1)

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

330,240 165,120 82,560 41,280 20,640 10,320 5,160 2,580 1,290 645 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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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