2² × 3⁶ × 5 × 7³

Prime Factor Structure

Factorization String 2^2 × 3^6 × 5 × 7^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 18,362,400

Proper Divisor Sum 13,361,460

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5000939 ← → #5000977

Radix Representation

Decimal	5000940
Binary	10011000100111011101100 (23 bits)
Octal	0o23047354
Hexadecimal	0x4C4EEC

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 81 84 90 98 105 108 126 135 140 147 162 180 189 196 210 243 245 252 270 294 315 324 343 378 405 420 441 486 490 540 567 588 630

Collatz Trajectory (162 steps to reach 1)

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

5,000,940 2,500,470 1,250,235 3,750,706 1,875,353 5,626,060 2,813,030 1,406,515 4,219,546 2,109,773 6,329,320 3,164,660 1,582,330 791,165 2,373,496 1,186,748 593,374 296,687 890,062 445,031 1,335,094 667,547 2,002,642 1,001,321 3,003,964 1,501,982 750,991 2,252,974 1,126,487 3,379,462 1,689,731 5,069,194 2,534,597 7,603,792 3,801,896 1,900,948 950,474 475,237 1,425,712 712,856 356,428 178,214 89,107 267,322 133,661 400,984 200,492 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720

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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