λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,396,574
32,396,574
2 × 3 × 7 × 727 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 727 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,221,056
Proper Divisor Sum 41,824,482
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #32396569 ← → #32396579

Radix Representation

Decimal 32396574
Binary 1111011100101010100011110 (25 bits)
Octal 0o173452436
Hexadecimal 0x1EE551E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 727 1,061 1,454 2,122 2,181 3,183 4,362 5,089 6,366 7,427 10,178 14,854 15,267 22,281 30,534 44,562 771,347 1,542,694 2,314,041 4,628,082 5,399,429 10,798,858 16,198,287 32,396,574

Collatz Trajectory (250 steps to reach 1)

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

32,396,574 16,198,287 48,594,862 24,297,431 72,892,294 36,446,147 109,338,442 54,669,221 164,007,664 82,003,832 41,001,916 20,500,958 10,250,479 30,751,438 15,375,719 46,127,158 23,063,579 69,190,738 34,595,369 103,786,108 51,893,054 25,946,527 77,839,582 38,919,791 116,759,374 58,379,687 175,139,062 87,569,531 262,708,594 131,354,297 394,062,892 197,031,446 98,515,723 295,547,170 147,773,585 443,320,756 221,660,378 110,830,189 332,490,568 166,245,284 83,122,642 41,561,321 124,683,964 62,341,982 31,170,991 93,512,974 46,756,487 140,269,462 70,134,731 210,404,194 105,202,097 315,606,292 157,803,146 78,901,573 236,704,720 118,352,360 59,176,180 29,588,090 14,794,045 44,382,136

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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