λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,802,406
13,802,406
2 × 3 × 37 × 79 × 787
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 79 × 787
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,746,240
Proper Divisor Sum 14,943,834
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #13802377 ← → #13802407

Radix Representation

Decimal 13802406
Binary 110100101001101110100110 (24 bits)
Octal 0o64515646
Hexadecimal 0xD29BA6

Divisor Catalog (32)

1 2 3 6 37 74 79 111 158 222 237 474 787 1,574 2,361 2,923 4,722 5,846 8,769 17,538 29,119 58,238 62,173 87,357 124,346 174,714 186,519 373,038 2,300,401 4,600,802 6,901,203 13,802,406

Collatz Trajectory (285 steps to reach 1)

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

13,802,406 6,901,203 20,703,610 10,351,805 31,055,416 15,527,708 7,763,854 3,881,927 11,645,782 5,822,891 17,468,674 8,734,337 26,203,012 13,101,506 6,550,753 19,652,260 9,826,130 4,913,065 14,739,196 7,369,598 3,684,799 11,054,398 5,527,199 16,581,598 8,290,799 24,872,398 12,436,199 37,308,598 18,654,299 55,962,898 27,981,449 83,944,348 41,972,174 20,986,087 62,958,262 31,479,131 94,437,394 47,218,697 141,656,092 70,828,046 35,414,023 106,242,070 53,121,035 159,363,106 79,681,553 239,044,660 119,522,330 59,761,165 179,283,496 89,641,748 44,820,874 22,410,437 67,231,312 33,615,656 16,807,828 8,403,914 4,201,957 12,605,872 6,302,936 3,151,468

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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