λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,008,146
2,008,146
2 × 3 × 7 × 137 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 137 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,636,800
Proper Divisor Sum 2,628,654
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2008141 ← → #2008147

Radix Representation

Decimal 2008146
Binary 111101010010001010010 (21 bits)
Octal 0o7522122
Hexadecimal 0x1EA452

Divisor Catalog (32)

1 2 3 6 7 14 21 42 137 274 349 411 698 822 959 1,047 1,918 2,094 2,443 2,877 4,886 5,754 7,329 14,658 47,813 95,626 143,439 286,878 334,691 669,382 1,004,073 2,008,146

Collatz Trajectory (122 steps to reach 1)

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

2,008,146 1,004,073 3,012,220 1,506,110 753,055 2,259,166 1,129,583 3,388,750 1,694,375 5,083,126 2,541,563 7,624,690 3,812,345 11,437,036 5,718,518 2,859,259 8,577,778 4,288,889 12,866,668 6,433,334 3,216,667 9,650,002 4,825,001 14,475,004 7,237,502 3,618,751 10,856,254 5,428,127 16,284,382 8,142,191 24,426,574 12,213,287 36,639,862 18,319,931 54,959,794 27,479,897 82,439,692 41,219,846 20,609,923 61,829,770 30,914,885 92,744,656 46,372,328 23,186,164 11,593,082 5,796,541 17,389,624 8,694,812 4,347,406 2,173,703 6,521,110 3,260,555 9,781,666 4,890,833 14,672,500 7,336,250 3,668,125 11,004,376 5,502,188 2,751,094

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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