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Ratio Atlas
Atlas › Integer Profiles › Node 1,024,000
1,024,000
213 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^13 × 5^3
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,555,748
Proper Divisor Sum 1,531,748
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #1023991 ← → #1024021

Radix Representation

Decimal 1024000
Binary 11111010000000000000 (20 bits)
Octal 0o3720000
Hexadecimal 0xFA000

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1,000 1,024 1,280 1,600 2,000 2,048 2,560 3,200 4,000 4,096 5,120 6,400 8,000 8,192 10,240 12,800 16,000 20,480 25,600 32,000 40,960 51,200 64,000 102,400 128,000 204,800 256,000 512,000 1,024,000

Collatz Trajectory (121 steps to reach 1)

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

1,024,000 512,000 256,000 128,000 64,000 32,000 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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