2² × 3 × 5³ × 7²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 248,976

Proper Divisor Sum 175,476

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #73483 ← → #73517

Radix Representation

Decimal	73500
Binary	10001111100011100 (17 bits)
Octal	0o217434
Hexadecimal	0x11F1C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1,050 1,225 1,470 1,500 1,750 2,100 2,450 2,625 2,940 3,500

Collatz Trajectory (63 steps to reach 1)

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

73,500 36,750 18,375 55,126 27,563 82,690 41,345 124,036 62,018 31,009 93,028 46,514 23,257 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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