2⁹ × 3³ × 7 × 41

Prime Factor Structure

Factorization String 2^9 × 3^3 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 13,749,120

Proper Divisor Sum 9,781,632

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3967487 ← → #3967489

Radix Representation

Decimal	3967488
Binary	1111001000101000000000 (22 bits)
Octal	0o17105000
Hexadecimal	0x3C8A00

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 54 56 63 64 72 82 84 96 108 112 123 126 128 144 164 168 189 192 216 224 246 252 256 287 288 328 336 369 378 384 432 448 492 504 512 574 576 656 672

Collatz Trajectory (61 steps to reach 1)

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

3,967,488 1,983,744 991,872 495,936 247,968 123,984 61,992 30,996 15,498 7,749 23,248 11,624 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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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