λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,009,418
50,009,418
2 × 32 × 71 × 109 × 359
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 71 × 109 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 111,196,800
Proper Divisor Sum 61,187,382
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50009371 ← → #50009419

Radix Representation

Decimal 50009418
Binary 10111110110001010101001010 (26 bits)
Octal 0o276612512
Hexadecimal 0x2FB154A

Divisor Catalog (48)

1 2 3 6 9 18 71 109 142 213 218 327 359 426 639 654 718 981 1,077 1,278 1,962 2,154 3,231 6,462 7,739 15,478 23,217 25,489 39,131 46,434 50,978 69,651 76,467 78,262 117,393 139,302 152,934 229,401 234,786 352,179 458,802 704,358 2,778,301 5,556,602 8,334,903 16,669,806 25,004,709 50,009,418

Collatz Trajectory (318 steps to reach 1)

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

50,009,418 25,004,709 75,014,128 37,507,064 18,753,532 9,376,766 4,688,383 14,065,150 7,032,575 21,097,726 10,548,863 31,646,590 15,823,295 47,469,886 23,734,943 71,204,830 35,602,415 106,807,246 53,403,623 160,210,870 80,105,435 240,316,306 120,158,153 360,474,460 180,237,230 90,118,615 270,355,846 135,177,923 405,533,770 202,766,885 608,300,656 304,150,328 152,075,164 76,037,582 38,018,791 114,056,374 57,028,187 171,084,562 85,542,281 256,626,844 128,313,422 64,156,711 192,470,134 96,235,067 288,705,202 144,352,601 433,057,804 216,528,902 108,264,451 324,793,354 162,396,677 487,190,032 243,595,016 121,797,508 60,898,754 30,449,377 91,348,132 45,674,066 22,837,033 68,511,100

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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