2⁵ × 3 × 5 × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 19 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 11,612,160

Proper Divisor Sum 8,611,680

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3000479 ← → #3000523

Radix Representation

Decimal	3000480
Binary	1011011100100010100000 (22 bits)
Octal	0o13344240
Hexadecimal	0x2DC8A0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 47 48 56 57 60 70 76 80 84 94 95 96 105 112 114 120 133 140 141 152 160 168 188 190 210 224 228 235 240 266 280 282 285 304 329 336

Collatz Trajectory (138 steps to reach 1)

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

3,000,480 1,500,240 750,120 375,060 187,530 93,765 281,296 140,648 70,324 35,162 17,581 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 6,358 3,179

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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