2² × 3 × 5⁴ × 7 × 61

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 7 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 10,846,528

Proper Divisor Sum 7,644,028

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3202483 ← → #3202501

Radix Representation

Decimal	3202500
Binary	1100001101110111000100 (22 bits)
Octal	0o14156704
Hexadecimal	0x30DDC4

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 125 140 150 175 183 210 244 250 300 305 350 366 375 420 427 500 525 610 625 700 732 750 854 875 915 1,050 1,220 1,250 1,281 1,500 1,525 1,708 1,750

Collatz Trajectory (164 steps to reach 1)

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

3,202,500 1,601,250 800,625 2,401,876 1,200,938 600,469 1,801,408 900,704 450,352 225,176 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

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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