2 × 3² × 5³ × 13

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 85,176

Proper Divisor Sum 55,926

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #29243 ← → #29251

Radix Representation

Decimal	29250
Binary	111001001000010 (15 bits)
Octal	0o71102
Hexadecimal	0x7242

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1,125 1,170 1,625 1,950 2,250 2,925 3,250 4,875 5,850 9,750 14,625 29,250

Collatz Trajectory (46 steps to reach 1)

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

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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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