2³ × 3² × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 280,800

Proper Divisor Sum 207,720

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #73079 ← → #73091

Radix Representation

Decimal	73080
Binary	10001110101111000 (17 bits)
Octal	0o216570
Hexadecimal	0x11D78

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 29 30 35 36 40 42 45 56 58 60 63 70 72 84 87 90 105 116 120 126 140 145 168 174 180 203 210 232 252 261 280 290 315 348 360 406 420 435 504 522 580 609

Collatz Trajectory (63 steps to reach 1)

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

73,080 36,540 18,270 9,135 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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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