λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,993,145
8,993,145
3 × 5 × 7 × 41 × 2089
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 2089
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,853,760
Proper Divisor Sum 7,860,615
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8993143 ← → #8993147

Radix Representation

Decimal 8993145
Binary 100010010011100101111001 (24 bits)
Octal 0o42234571
Hexadecimal 0x893979

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 205 287 615 861 1,435 2,089 4,305 6,267 10,445 14,623 31,335 43,869 73,115 85,649 219,345 256,947 428,245 599,543 1,284,735 1,798,629 2,997,715 8,993,145

Collatz Trajectory (225 steps to reach 1)

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

8,993,145 26,979,436 13,489,718 6,744,859 20,234,578 10,117,289 30,351,868 15,175,934 7,587,967 22,763,902 11,381,951 34,145,854 17,072,927 51,218,782 25,609,391 76,828,174 38,414,087 115,242,262 57,621,131 172,863,394 86,431,697 259,295,092 129,647,546 64,823,773 194,471,320 97,235,660 48,617,830 24,308,915 72,926,746 36,463,373 109,390,120 54,695,060 27,347,530 13,673,765 41,021,296 20,510,648 10,255,324 5,127,662 2,563,831 7,691,494 3,845,747 11,537,242 5,768,621 17,305,864 8,652,932 4,326,466 2,163,233 6,489,700 3,244,850 1,622,425 4,867,276 2,433,638 1,216,819 3,650,458 1,825,229 5,475,688 2,737,844 1,368,922 684,461 2,053,384

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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