2² × 3² × 5³ × 17

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 255,528

Proper Divisor Sum 179,028

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #76493 ← → #76507

Radix Representation

Decimal	76500
Binary	10010101011010100 (17 bits)
Octal	0o225324
Hexadecimal	0x12AD4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 125 150 153 170 180 204 225 250 255 300 306 340 375 425 450 500 510 612 750 765 850 900 1,020 1,125 1,275 1,500 1,530 1,700 2,125 2,250 2,550 3,060 3,825

Collatz Trajectory (125 steps to reach 1)

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

76,500 38,250 19,125 57,376 28,688 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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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