2³ × 3 × 11 × 13 × 31 × 47

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 31 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 15,482,880

Proper Divisor Sum 10,482,456

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5000423 ← → #5000473

Radix Representation

Decimal	5000424
Binary	10011000100110011101000 (23 bits)
Octal	0o23046350
Hexadecimal	0x4C4CE8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 47 52 62 66 78 88 93 94 104 124 132 141 143 156 186 188 248 264 282 286 312 341 372 376 403 429 517 564 572 611 682 744 806 858 1,023 1,034 1,128 1,144 1,209 1,222 1,364 1,457 1,551 1,612

Collatz Trajectory (219 steps to reach 1)

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

5,000,424 2,500,212 1,250,106 625,053 1,875,160 937,580 468,790 234,395 703,186 351,593 1,054,780 527,390 263,695 791,086 395,543 1,186,630 593,315 1,779,946 889,973 2,669,920 1,334,960 667,480 333,740 166,870 83,435 250,306 125,153 375,460 187,730 93,865 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179 2,283,538 1,141,769

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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