2⁴ × 3 × 13 × 31

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 55,552

Proper Divisor Sum 36,208

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #19333 ← → #19373

Radix Representation

Decimal	19344
Binary	100101110010000 (15 bits)
Octal	0o45620
Hexadecimal	0x4B90

Divisor Catalog (40)

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

Collatz Trajectory (61 steps to reach 1)

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

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 4

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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