2⁴ × 3³ × 5 × 7 × 263

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 7 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 15,713,280

Proper Divisor Sum 11,736,720

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3976547 ← → #3976573

Radix Representation

Decimal	3976560
Binary	1111001010110101110000 (22 bits)
Octal	0o17126560
Hexadecimal	0x3CAD70

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 263 270 280 315 336 360 378 420 432

Collatz Trajectory (66 steps to reach 1)

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

3,976,560 1,988,280 994,140 497,070 248,535 745,606 372,803 1,118,410 559,205 1,677,616 838,808 419,404 209,702 104,851 314,554 157,277 471,832 235,916 117,958 58,979 176,938 88,469 265,408 132,704 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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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