2² × 3⁹ × 5 × 13

Prime Factor Structure

Factorization String 2^2 × 3^9 × 5 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 17,360,112

Proper Divisor Sum 12,242,532

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5117557 ← → #5117587

Radix Representation

Decimal	5117580
Binary	10011100001011010001100 (23 bits)
Octal	0o23413214
Hexadecimal	0x4E168C

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 729 780 810 972 1,053 1,170 1,215 1,404 1,458 1,620 1,755 2,106 2,187

Collatz Trajectory (74 steps to reach 1)

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

5,117,580 2,558,790 1,279,395 3,838,186 1,919,093 5,757,280 2,878,640 1,439,320 719,660 359,830 179,915 539,746 269,873 809,620 404,810 202,405 607,216 303,608 151,804 75,902 37,951 113,854 56,927 170,782 85,391 256,174 128,087 384,262 192,131 576,394 288,197 864,592 432,296 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904

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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