2⁹ × 3² × 5³ × 127

Prime Factor Structure

Factorization String 2^9 × 3^2 × 5^3 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 265,554,432

Proper Divisor Sum 192,402,432

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #73151999 ← → #73152041

Radix Representation

Decimal	73152000
Binary	100010111000011011000000000 (27 bits)
Octal	0o427033000
Hexadecimal	0x45C3600

Divisor Catalog (60 of 240)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 127 128 144 150 160 180 192 200 225 240 250 254 256 288 300 320 360 375 381 384 400 450 480 500 508 512 576

Collatz Trajectory (228 steps to reach 1)

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

73,152,000 36,576,000 18,288,000 9,144,000 4,572,000 2,286,000 1,143,000 571,500 285,750 142,875 428,626 214,313 642,940 321,470 160,735 482,206 241,103 723,310 361,655 1,084,966 542,483 1,627,450 813,725 2,441,176 1,220,588 610,294 305,147 915,442 457,721 1,373,164 686,582 343,291 1,029,874 514,937 1,544,812 772,406 386,203 1,158,610 579,305 1,737,916 868,958 434,479 1,303,438 651,719 1,955,158 977,579 2,932,738 1,466,369 4,399,108 2,199,554 1,099,777 3,299,332 1,649,666 824,833 2,474,500 1,237,250 618,625 1,855,876 927,938 463,969

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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