2³ × 3 × 5 × 11 × 31 × 97

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 31 × 97

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 13,547,520

Proper Divisor Sum 9,578,280

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3969221 ← → #3969241

Radix Representation

Decimal	3969240
Binary	1111001001000011011000 (22 bits)
Octal	0o17110330
Hexadecimal	0x3C90D8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 97 110 120 124 132 155 165 186 194 220 248 264 291 310 330 341 372 388 440 465 485 582 620 660 682 744 776 930 970 1,023 1,067 1,164 1,240 1,320 1,364

Collatz Trajectory (123 steps to reach 1)

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

3,969,240 1,984,620 992,310 496,155 1,488,466 744,233 2,232,700 1,116,350 558,175 1,674,526 837,263 2,511,790 1,255,895 3,767,686 1,883,843 5,651,530 2,825,765 8,477,296 4,238,648 2,119,324 1,059,662 529,831 1,589,494 794,747 2,384,242 1,192,121 3,576,364 1,788,182 894,091 2,682,274 1,341,137 4,023,412 2,011,706 1,005,853 3,017,560 1,508,780 754,390 377,195 1,131,586 565,793 1,697,380 848,690 424,345 1,273,036 636,518 318,259 954,778 477,389 1,432,168 716,084 358,042 179,021 537,064 268,532 134,266 67,133 201,400 100,700 50,350 25,175

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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