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Ratio Atlas
Atlas › Integer Profiles › Node 743,679
743,679
32 × 19 × 4349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 19 × 4349
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,131,000
Proper Divisor Sum 387,321
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #743671 ← → #743689

Radix Representation

Decimal 743679
Binary 10110101100011111111 (20 bits)
Octal 0o2654377
Hexadecimal 0xB58FF

Divisor Catalog (12)

1 3 9 19 57 171 4,349 13,047 39,141 82,631 247,893 743,679

Collatz Trajectory (286 steps to reach 1)

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

743,679 2,231,038 1,115,519 3,346,558 1,673,279 5,019,838 2,509,919 7,529,758 3,764,879 11,294,638 5,647,319 16,941,958 8,470,979 25,412,938 12,706,469 38,119,408 19,059,704 9,529,852 4,764,926 2,382,463 7,147,390 3,573,695 10,721,086 5,360,543 16,081,630 8,040,815 24,122,446 12,061,223 36,183,670 18,091,835 54,275,506 27,137,753 81,413,260 40,706,630 20,353,315 61,059,946 30,529,973 91,589,920 45,794,960 22,897,480 11,448,740 5,724,370 2,862,185 8,586,556 4,293,278 2,146,639 6,439,918 3,219,959 9,659,878 4,829,939 14,489,818 7,244,909 21,734,728 10,867,364 5,433,682 2,716,841 8,150,524 4,075,262 2,037,631 6,112,894

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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