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Ratio Atlas
Atlas › Integer Profiles › Node 28,500
28,500
22 × 3 × 53 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,360
Proper Divisor Sum 58,860
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #28499 ← → #28513

Radix Representation

Decimal 28500
Binary 110111101010100 (15 bits)
Octal 0o67524
Hexadecimal 0x6F54

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1,140 1,425 1,500 1,900 2,375 2,850 4,750 5,700 7,125 9,500 14,250 28,500

Collatz Trajectory (77 steps to reach 1)

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

28,500 14,250 7,125 21,376 10,688 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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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