2³ × 3² × 5 × 7 × 83

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 786,240

Proper Divisor Sum 577,080

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #209159 ← → #209173

Radix Representation

Decimal	209160
Binary	110011000100001000 (18 bits)
Octal	0o630410
Hexadecimal	0x33108

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 83 84 90 105 120 126 140 166 168 180 210 249 252 280 315 332 360 415 420 498 504 581 630 664 747 830 840 996 1,162 1,245 1,260

Collatz Trajectory (173 steps to reach 1)

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

209,160 104,580 52,290 26,145 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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