2⁴ × 3 × 5² × 7²

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 219,108

Proper Divisor Sum 160,308

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #58789 ← → #58831

Radix Representation

Decimal	58800
Binary	1110010110110000 (16 bits)
Octal	0o162660
Hexadecimal	0xE5B0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 49 50 56 60 70 75 80 84 98 100 105 112 120 140 147 150 168 175 196 200 210 240 245 280 294 300 336 350 392 400 420 490 525 560 588 600 700

Collatz Trajectory (104 steps to reach 1)

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

58,800 29,400 14,700 7,350 3,675 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248

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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