2⁶ × 3³ × 7² × 47

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 13,898,880

Proper Divisor Sum 9,919,296

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3979571 ← → #3979603

Radix Representation

Decimal	3979584
Binary	1111001011100101000000 (22 bits)
Octal	0o17134500
Hexadecimal	0x3CB940

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 49 54 56 63 64 72 84 94 96 98 108 112 126 141 144 147 168 188 189 192 196 216 224 252 282 288 294 329 336 376 378 392 423 432 441 448 504 564 576

Collatz Trajectory (123 steps to reach 1)

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

3,979,584 1,989,792 994,896 497,448 248,724 124,362 62,181 186,544 93,272 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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