λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,002,779
20,002,779
32 × 29 × 173 × 443
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 29 × 173 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,129,840
Proper Divisor Sum 10,127,061
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20002771 ← → #20002799

Radix Representation

Decimal 20002779
Binary 1001100010011011111011011 (25 bits)
Octal 0o114233733
Hexadecimal 0x13137DB

Divisor Catalog (24)

1 3 9 29 87 173 261 443 519 1,329 1,557 3,987 5,017 12,847 15,051 38,541 45,153 76,639 115,623 229,917 689,751 2,222,531 6,667,593 20,002,779

Collatz Trajectory (190 steps to reach 1)

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

20,002,779 60,008,338 30,004,169 90,012,508 45,006,254 22,503,127 67,509,382 33,754,691 101,264,074 50,632,037 151,896,112 75,948,056 37,974,028 18,987,014 9,493,507 28,480,522 14,240,261 42,720,784 21,360,392 10,680,196 5,340,098 2,670,049 8,010,148 4,005,074 2,002,537 6,007,612 3,003,806 1,501,903 4,505,710 2,252,855 6,758,566 3,379,283 10,137,850 5,068,925 15,206,776 7,603,388 3,801,694 1,900,847 5,702,542 2,851,271 8,553,814 4,276,907 12,830,722 6,415,361 19,246,084 9,623,042 4,811,521 14,434,564 7,217,282 3,608,641 10,825,924 5,412,962 2,706,481 8,119,444 4,059,722 2,029,861 6,089,584 3,044,792 1,522,396 761,198

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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