2⁴ × 3² × 5³ × 1789

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 112,533,720

Proper Divisor Sum 80,331,720

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #32201999 ← → #32202007

Radix Representation

Decimal	32202000
Binary	1111010110101110100010000 (25 bits)
Octal	0o172656420
Hexadecimal	0x1EB5D10

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1,000 1,125 1,200 1,500 1,789 1,800 2,000 2,250 3,000 3,578 3,600 4,500 5,367

Collatz Trajectory (95 steps to reach 1)

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

32,202,000 16,101,000 8,050,500 4,025,250 2,012,625 6,037,876 3,018,938 1,509,469 4,528,408 2,264,204 1,132,102 566,051 1,698,154 849,077 2,547,232 1,273,616 636,808 318,404 159,202 79,601 238,804 119,402 59,701 179,104 89,552 44,776 22,388 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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