2³ × 3² × 13 × 41

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 114,660

Proper Divisor Sum 76,284

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #38371 ← → #38377

Radix Representation

Decimal	38376
Binary	1001010111101000 (16 bits)
Octal	0o112750
Hexadecimal	0x95E8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1,066 1,476 1,599 2,132 2,952 3,198 4,264 4,797 6,396 9,594 12,792 19,188 38,376

Collatz Trajectory (75 steps to reach 1)

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

38,376 19,188 9,594 4,797 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 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

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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