2² × 3⁴ × 11 × 23 × 61

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 23 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,124,032

Proper Divisor Sum 10,123,740

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5000263 ← → #5000299

Radix Representation

Decimal	5000292
Binary	10011000100110001100100 (23 bits)
Octal	0o23046144
Hexadecimal	0x4C4C64

Divisor Catalog (60 of 120)

1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 61 66 69 81 92 99 108 122 132 138 162 183 198 207 244 253 276 297 324 366 396 414 506 549 594 621 671 732 759 828 891 1,012 1,098 1,188 1,242 1,342 1,403 1,518 1,647 1,782 1,863 2,013 2,196

Collatz Trajectory (175 steps to reach 1)

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

5,000,292 2,500,146 1,250,073 3,750,220 1,875,110 937,555 2,812,666 1,406,333 4,219,000 2,109,500 1,054,750 527,375 1,582,126 791,063 2,373,190 1,186,595 3,559,786 1,779,893 5,339,680 2,669,840 1,334,920 667,460 333,730 166,865 500,596 250,298 125,149 375,448 187,724 93,862 46,931 140,794 70,397 211,192 105,596 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881

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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