2³ × 3² × 5 × 7 × 53 × 73

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 53 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 37,402,560

Proper Divisor Sum 27,652,680

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9749867 ← → #9749881

Radix Representation

Decimal	9749880
Binary	100101001100010101111000 (24 bits)
Octal	0o45142570
Hexadecimal	0x94C578

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 53 56 60 63 70 72 73 84 90 105 106 120 126 140 146 159 168 180 210 212 219 252 265 280 292 315 318 360 365 371 420 424 438 477 504 511

Collatz Trajectory (251 steps to reach 1)

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

9,749,880 4,874,940 2,437,470 1,218,735 3,656,206 1,828,103 5,484,310 2,742,155 8,226,466 4,113,233 12,339,700 6,169,850 3,084,925 9,254,776 4,627,388 2,313,694 1,156,847 3,470,542 1,735,271 5,205,814 2,602,907 7,808,722 3,904,361 11,713,084 5,856,542 2,928,271 8,784,814 4,392,407 13,177,222 6,588,611 19,765,834 9,882,917 29,648,752 14,824,376 7,412,188 3,706,094 1,853,047 5,559,142 2,779,571 8,338,714 4,169,357 12,508,072 6,254,036 3,127,018 1,563,509 4,690,528 2,345,264 1,172,632 586,316 293,158 146,579 439,738 219,869 659,608 329,804 164,902 82,451 247,354 123,677 371,032

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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