2⁶ × 5 × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 5,852,160

Proper Divisor Sum 3,851,840

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #2000309 ← → #2000321

Radix Representation

Decimal	2000320
Binary	111101000010111000000 (21 bits)
Octal	0o7502700
Hexadecimal	0x1E85C0

Divisor Catalog (60 of 112)

1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 47 56 64 70 76 80 94 95 112 133 140 152 160 188 190 224 235 266 280 304 320 329 376 380 448 470 532 560 608 658 665 752 760 893 940 1,064 1,120 1,216 1,316 1,330 1,504 1,520 1,645 1,786

Collatz Trajectory (140 steps to reach 1)

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

2,000,320 1,000,160 500,080 250,040 125,020 62,510 31,255 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 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

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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