2² × 3³ × 5 × 7 × 11

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 161,280

Proper Divisor Sum 119,700

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #41579 ← → #41593

Radix Representation

Decimal	41580
Binary	1010001001101100 (16 bits)
Octal	0o121154
Hexadecimal	0xA26C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 54 55 60 63 66 70 77 84 90 99 105 108 110 126 132 135 140 154 165 180 189 198 210 220 231 252 270 297 308 315 330 378 385 396

Collatz Trajectory (88 steps to reach 1)

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

41,580 20,790 10,395 31,186 15,593 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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