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Ratio Atlas
Atlas › Integer Profiles › Node 2,072,832
2,072,832
28 × 3 × 2699
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 2699
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,518,800
Proper Divisor Sum 3,445,968
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2072831 ← → #2072839

Radix Representation

Decimal 2072832
Binary 111111010000100000000 (21 bits)
Octal 0o7720400
Hexadecimal 0x1FA100

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2,699 5,398 8,097 10,796 16,194 21,592 32,388 43,184 64,776 86,368 129,552 172,736 259,104 345,472 518,208 690,944 1,036,416 2,072,832

Collatz Trajectory (73 steps to reach 1)

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

2,072,832 1,036,416 518,208 259,104 129,552 64,776 32,388 16,194 8,097 24,292 12,146 6,073 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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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