2² × 3² × 5³ × 13

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 198,744

Proper Divisor Sum 140,244

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #58481 ← → #58511

Radix Representation

Decimal	58500
Binary	1110010010000100 (16 bits)
Octal	0o162204
Hexadecimal	0xE484

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1,125 1,170 1,300 1,500 1,625 1,950 2,250 2,340 2,925

Collatz Trajectory (47 steps to reach 1)

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

58,500 29,250 14,625 43,876 21,938 10,969 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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