λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,405,046
8,405,046
2 × 34 × 132 × 307
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 13^2 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 20,460,132
Proper Divisor Sum 12,055,086
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8405029 ← → #8405063

Radix Representation

Decimal 8405046
Binary 100000000100000000110110 (24 bits)
Octal 0o40040066
Hexadecimal 0x804036

Divisor Catalog (60)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 307 338 351 507 614 702 921 1,014 1,053 1,521 1,842 2,106 2,763 3,042 3,991 4,563 5,526 7,982 8,289 9,126 11,973 13,689 16,578 23,946 24,867 27,378 35,919 49,734 51,883 71,838 103,766 107,757 155,649 215,514 311,298 323,271 466,947 646,542 933,894 1,400,841 2,801,682 4,202,523 8,405,046

Collatz Trajectory (243 steps to reach 1)

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

8,405,046 4,202,523 12,607,570 6,303,785 18,911,356 9,455,678 4,727,839 14,183,518 7,091,759 21,275,278 10,637,639 31,912,918 15,956,459 47,869,378 23,934,689 71,804,068 35,902,034 17,951,017 53,853,052 26,926,526 13,463,263 40,389,790 20,194,895 60,584,686 30,292,343 90,877,030 45,438,515 136,315,546 68,157,773 204,473,320 102,236,660 51,118,330 25,559,165 76,677,496 38,338,748 19,169,374 9,584,687 28,754,062 14,377,031 43,131,094 21,565,547 64,696,642 32,348,321 97,044,964 48,522,482 24,261,241 72,783,724 36,391,862 18,195,931 54,587,794 27,293,897 81,881,692 40,940,846 20,470,423 61,411,270 30,705,635 92,116,906 46,058,453 138,175,360 69,087,680

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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