2⁵ × 3² × 5²

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 25,389

Proper Divisor Sum 18,189

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #7193 ← → #7207

Radix Representation

Decimal	7200
Binary	1110000100000 (13 bits)
Octal	0o16040
Hexadecimal	0x1C20

Divisor Catalog (54)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1,200 1,440 1,800 2,400 3,600 7,200

Collatz Trajectory (57 steps to reach 1)

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

7,200 3,600 1,800 900 450 225 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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