2³ × 3⁵ × 5 × 17 × 23

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 14,152,320

Proper Divisor Sum 10,351,800

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3800501 ← → #3800521

Radix Representation

Decimal	3800520
Binary	1110011111110111001000 (22 bits)
Octal	0o16376710
Hexadecimal	0x39FDC8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 23 24 27 30 34 36 40 45 46 51 54 60 68 69 72 81 85 90 92 102 108 115 120 135 136 138 153 162 170 180 184 204 207 216 230 243 255 270 276 306 324 340 345 360 391 405

Collatz Trajectory (128 steps to reach 1)

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

3,800,520 1,900,260 950,130 475,065 1,425,196 712,598 356,299 1,068,898 534,449 1,603,348 801,674 400,837 1,202,512 601,256 300,628 150,314 75,157 225,472 112,736 56,368 28,184 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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