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Ratio Atlas
Atlas › Integer Profiles › Node 13,500
13,500
22 × 33 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,680
Proper Divisor Sum 30,180
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #13499 ← → #13513

Radix Representation

Decimal 13500
Binary 11010010111100 (14 bits)
Octal 0o32274
Hexadecimal 0x34BC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1,125 1,350 1,500 2,250 2,700 3,375 4,500 6,750 13,500

Collatz Trajectory (138 steps to reach 1)

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

13,500 6,750 3,375 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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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