2⁴ × 3² × 11 × 17 × 353

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 17 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 30,814,992

Proper Divisor Sum 21,309,408

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9505583 ← → #9505589

Radix Representation

Decimal	9505584
Binary	100100010000101100110000 (24 bits)
Octal	0o44205460
Hexadecimal	0x910B30

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 353 374 396 408 528 561 612 706 748 792 816 1,059 1,122 1,224 1,412 1,496 1,584 1,683 2,118 2,244 2,448 2,824 2,992

Collatz Trajectory (75 steps to reach 1)

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

9,505,584 4,752,792 2,376,396 1,188,198 594,099 1,782,298 891,149 2,673,448 1,336,724 668,362 334,181 1,002,544 501,272 250,636 125,318 62,659 187,978 93,989 281,968 140,984 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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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