2³ × 3 × 5² × 7² × 13

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 7^2 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,484,280

Proper Divisor Sum 1,102,080

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #382189 ← → #382229

Radix Representation

Decimal	382200
Binary	1011101010011111000 (19 bits)
Octal	0o1352370
Hexadecimal	0x5D4F8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 25 26 28 30 35 39 40 42 49 50 52 56 60 65 70 75 78 84 91 98 100 104 105 120 130 140 147 150 156 168 175 182 195 196 200 210 245 260 273 280 294 300 312 325

Collatz Trajectory (104 steps to reach 1)

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

382,200 191,100 95,550 47,775 143,326 71,663 214,990 107,495 322,486 161,243 483,730 241,865 725,596 362,798 181,399 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560

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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