2⁷ × 3 × 5² × 13 × 41

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 13 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 18,592,560

Proper Divisor Sum 13,475,760

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5116763 ← → #5116823

Radix Representation

Decimal	5116800
Binary	10011100001001110000000 (23 bits)
Octal	0o23411600
Hexadecimal	0x4E1380

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 75 78 80 82 96 100 104 120 123 128 130 150 156 160 164 192 195 200 205 208 240 246 260 300 312 320 325 328 384 390 400 410 416

Collatz Trajectory (82 steps to reach 1)

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

5,116,800 2,558,400 1,279,200 639,600 319,800 159,900 79,950 39,975 119,926 59,963 179,890 89,945 269,836 134,918 67,459 202,378 101,189 303,568 151,784 75,892 37,946 18,973 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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