2⁹ × 3 × 11 × 23

Prime Factor Structure

Factorization String 2^9 × 3 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,178,496

Proper Divisor Sum 789,888

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #388573 ← → #388621

Radix Representation

Decimal	388608
Binary	1011110111000000000 (19 bits)
Octal	0o1367000
Hexadecimal	0x5EE00

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 512 528 552 704 736 759 768 1,012 1,056 1,104 1,408 1,472 1,518 1,536 2,024 2,112 2,208 2,816 2,944 3,036 4,048 4,224 4,416

Collatz Trajectory (68 steps to reach 1)

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

388,608 194,304 97,152 48,576 24,288 12,144 6,072 3,036 1,518 759 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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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