2⁴ × 3² × 5 × 73 × 137

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 73 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 24,692,616

Proper Divisor Sum 17,491,896

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7200719 ← → #7200733

Radix Representation

Decimal	7200720
Binary	11011011101111111010000 (23 bits)
Octal	0o33357720
Hexadecimal	0x6DDFD0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 73 80 90 120 137 144 146 180 219 240 274 292 360 365 411 438 548 584 657 685 720 730 822 876 1,095 1,096 1,168 1,233 1,314 1,370 1,460 1,644 1,752 2,055 2,190 2,192 2,466 2,628

Collatz Trajectory (310 steps to reach 1)

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

7,200,720 3,600,360 1,800,180 900,090 450,045 1,350,136 675,068 337,534 168,767 506,302 253,151 759,454 379,727 1,139,182 569,591 1,708,774 854,387 2,563,162 1,281,581 3,844,744 1,922,372 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751 608,254 304,127 912,382 456,191 1,368,574 684,287 2,052,862 1,026,431 3,079,294 1,539,647 4,618,942 2,309,471 6,928,414 3,464,207 10,392,622 5,196,311 15,588,934 7,794,467 23,383,402 11,691,701 35,075,104 17,537,552 8,768,776 4,384,388 2,192,194 1,096,097 3,288,292 1,644,146

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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