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Ratio Atlas
Atlas › Integer Profiles › Node 2,005,000
2,005,000
23 × 54 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^4 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,709,430
Proper Divisor Sum 2,704,430
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #2004991 ← → #2005001

Radix Representation

Decimal 2005000
Binary 111101001100000001000 (21 bits)
Octal 0o7514010
Hexadecimal 0x1E9808

Divisor Catalog (40)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 401 500 625 802 1,000 1,250 1,604 2,005 2,500 3,208 4,010 5,000 8,020 10,025 16,040 20,050 40,100 50,125 80,200 100,250 200,500 250,625 401,000 501,250 1,002,500 2,005,000

Collatz Trajectory (153 steps to reach 1)

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

2,005,000 1,002,500 501,250 250,625 751,876 375,938 187,969 563,908 281,954 140,977 422,932 211,466 105,733 317,200 158,600 79,300 39,650 19,825 59,476 29,738 14,869 44,608 22,304 11,152 5,576 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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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