2⁴ × 3² × 7 × 11² × 41

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 11^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 18,009,264

Proper Divisor Sum 13,008,576

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5000687 ← → #5000689

Radix Representation

Decimal	5000688
Binary	10011000100110111110000 (23 bits)
Octal	0o23046760
Hexadecimal	0x4C4DF0

Divisor Catalog (60 of 180)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 41 42 44 48 56 63 66 72 77 82 84 88 99 112 121 123 126 132 144 154 164 168 176 198 231 242 246 252 264 287 308 328 336 363 369 396 451 462 484 492 504

Collatz Trajectory (206 steps to reach 1)

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

5,000,688 2,500,344 1,250,172 625,086 312,543 937,630 468,815 1,406,446 703,223 2,109,670 1,054,835 3,164,506 1,582,253 4,746,760 2,373,380 1,186,690 593,345 1,780,036 890,018 445,009 1,335,028 667,514 333,757 1,001,272 500,636 250,318 125,159 375,478 187,739 563,218 281,609 844,828 422,414 211,207 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413 1,069,240 534,620 267,310 133,655 400,966 200,483 601,450 300,725 902,176 451,088 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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