λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,407,946
6,407,946
2 × 32 × 17 × 43 × 487
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 43 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,073,344
Proper Divisor Sum 8,665,398
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6407941 ← → #6407953

Radix Representation

Decimal 6407946
Binary 11000011100011100001010 (23 bits)
Octal 0o30343412
Hexadecimal 0x61C70A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 487 731 774 974 1,461 1,462 2,193 2,922 4,383 4,386 6,579 8,279 8,766 13,158 16,558 20,941 24,837 41,882 49,674 62,823 74,511 125,646 149,022 188,469 355,997 376,938 711,994 1,067,991 2,135,982 3,203,973 6,407,946

Collatz Trajectory (240 steps to reach 1)

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

6,407,946 3,203,973 9,611,920 4,805,960 2,402,980 1,201,490 600,745 1,802,236 901,118 450,559 1,351,678 675,839 2,027,518 1,013,759 3,041,278 1,520,639 4,561,918 2,280,959 6,842,878 3,421,439 10,264,318 5,132,159 15,396,478 7,698,239 23,094,718 11,547,359 34,642,078 17,321,039 51,963,118 25,981,559 77,944,678 38,972,339 116,917,018 58,458,509 175,375,528 87,687,764 43,843,882 21,921,941 65,765,824 32,882,912 16,441,456 8,220,728 4,110,364 2,055,182 1,027,591 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122 1,734,061 5,202,184 2,601,092 1,300,546 650,273 1,950,820 975,410 487,705 1,463,116

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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