λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,002,014
2,002,014
2 × 32 × 7 × 15889
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 15889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,957,680
Proper Divisor Sum 2,955,666
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2002009 ← → #2002019

Radix Representation

Decimal 2002014
Binary 111101000110001011110 (21 bits)
Octal 0o7506136
Hexadecimal 0x1E8C5E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 15,889 31,778 47,667 95,334 111,223 143,001 222,446 286,002 333,669 667,338 1,001,007 2,002,014

Collatz Trajectory (259 steps to reach 1)

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

2,002,014 1,001,007 3,003,022 1,501,511 4,504,534 2,252,267 6,756,802 3,378,401 10,135,204 5,067,602 2,533,801 7,601,404 3,800,702 1,900,351 5,701,054 2,850,527 8,551,582 4,275,791 12,827,374 6,413,687 19,241,062 9,620,531 28,861,594 14,430,797 43,292,392 21,646,196 10,823,098 5,411,549 16,234,648 8,117,324 4,058,662 2,029,331 6,087,994 3,043,997 9,131,992 4,565,996 2,282,998 1,141,499 3,424,498 1,712,249 5,136,748 2,568,374 1,284,187 3,852,562 1,926,281 5,778,844 2,889,422 1,444,711 4,334,134 2,167,067 6,501,202 3,250,601 9,751,804 4,875,902 2,437,951 7,313,854 3,656,927 10,970,782 5,485,391 16,456,174

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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