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Ratio Atlas
Atlas › Integer Profiles › Node 26,600
26,600
23 × 52 × 7 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,400
Proper Divisor Sum 47,800
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #26597 ← → #26627

Radix Representation

Decimal 26600
Binary 110011111101000 (15 bits)
Octal 0o63750
Hexadecimal 0x67E8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1,064 1,330 1,400 1,900 2,660 3,325 3,800 5,320 6,650 13,300 26,600

Collatz Trajectory (139 steps to reach 1)

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

26,600 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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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