2⁴ × 5 × 13 × 37

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 98,952

Proper Divisor Sum 60,472

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #38461 ← → #38501

Radix Representation

Decimal	38480
Binary	1001011001010000 (16 bits)
Octal	0o113120
Hexadecimal	0x9650

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1,040 1,480 1,924 2,405 2,960 3,848 4,810 7,696 9,620 19,240 38,480

Collatz Trajectory (62 steps to reach 1)

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

38,480 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 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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