2⁴ × 3 × 7 × 31 × 37

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 31 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,206,272

Proper Divisor Sum 820,880

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #385391 ← → #385393

Radix Representation

Decimal	385392
Binary	1011110000101110000 (19 bits)
Octal	0o1360560
Hexadecimal	0x5E170

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 296 336 372 434 444 496 518 592 651 744 777 868 888 1,036 1,147 1,302 1,488 1,554 1,736 1,776 2,072 2,294 2,604 3,108 3,441 3,472 4,144 4,588

Collatz Trajectory (55 steps to reach 1)

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

385,392 192,696 96,348 48,174 24,087 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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