2⁵ × 3 × 13 × 31

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 112,896

Proper Divisor Sum 74,208

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #38677 ← → #38693

Radix Representation

Decimal	38688
Binary	1001011100100000 (16 bits)
Octal	0o113440
Hexadecimal	0x9720

Divisor Catalog (48)

1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1,209 1,248 1,488 1,612 2,418 2,976 3,224 4,836 6,448 9,672 12,896 19,344 38,688

Collatz Trajectory (62 steps to reach 1)

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

38,688 19,344 9,672 4,836 2,418 1,209 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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