λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,409,150
6,409,150
2 × 52 × 11 × 43 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 43 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,356,288
Proper Divisor Sum 6,947,138
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6409141 ← → #6409163

Radix Representation

Decimal 6409150
Binary 11000011100101110111110 (23 bits)
Octal 0o30345676
Hexadecimal 0x61CBBE

Divisor Catalog (48)

1 2 5 10 11 22 25 43 50 55 86 110 215 271 275 430 473 542 550 946 1,075 1,355 2,150 2,365 2,710 2,981 4,730 5,962 6,775 11,653 11,825 13,550 14,905 23,306 23,650 29,810 58,265 74,525 116,530 128,183 149,050 256,366 291,325 582,650 640,915 1,281,830 3,204,575 6,409,150

Collatz Trajectory (196 steps to reach 1)

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

6,409,150 3,204,575 9,613,726 4,806,863 14,420,590 7,210,295 21,630,886 10,815,443 32,446,330 16,223,165 48,669,496 24,334,748 12,167,374 6,083,687 18,251,062 9,125,531 27,376,594 13,688,297 41,064,892 20,532,446 10,266,223 30,798,670 15,399,335 46,198,006 23,099,003 69,297,010 34,648,505 103,945,516 51,972,758 25,986,379 77,959,138 38,979,569 116,938,708 58,469,354 29,234,677 87,704,032 43,852,016 21,926,008 10,963,004 5,481,502 2,740,751 8,222,254 4,111,127 12,333,382 6,166,691 18,500,074 9,250,037 27,750,112 13,875,056 6,937,528 3,468,764 1,734,382 867,191 2,601,574 1,300,787 3,902,362 1,951,181 5,853,544 2,926,772 1,463,386

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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