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Ratio Atlas
Atlas › Integer Profiles › Node 526,400
526,400
26 × 52 × 7 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 1,511,808
Proper Divisor Sum 985,408
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #526397 ← → #526423

Radix Representation

Decimal 526400
Binary 10000000100001000000 (20 bits)
Octal 0o2004100
Hexadecimal 0x80840

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 64 70 80 94 100 112 140 160 175 188 200 224 235 280 320 329 350 376 400 448 470 560 658 700 752 800 940 1,120 1,175 1,316 1,400 1,504 1,600 1,645 1,880 2,240 2,350 2,632 2,800 3,008 3,290 3,760

Collatz Trajectory (120 steps to reach 1)

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

526,400 263,200 131,600 65,800 32,900 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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