λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,002,254
32,002,254
2 × 32 × 29 × 101 × 607
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 101 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,558,720
Proper Divisor Sum 40,556,466
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #32002219 ← → #32002273

Radix Representation

Decimal 32002254
Binary 1111010000101000011001110 (25 bits)
Octal 0o172050316
Hexadecimal 0x1E850CE

Divisor Catalog (48)

1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 607 909 1,214 1,818 1,821 2,929 3,642 5,463 5,858 8,787 10,926 17,574 17,603 26,361 35,206 52,722 52,809 61,307 105,618 122,614 158,427 183,921 316,854 367,842 551,763 1,103,526 1,777,903 3,555,806 5,333,709 10,667,418 16,001,127 32,002,254

Collatz Trajectory (263 steps to reach 1)

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

32,002,254 16,001,127 48,003,382 24,001,691 72,005,074 36,002,537 108,007,612 54,003,806 27,001,903 81,005,710 40,502,855 121,508,566 60,754,283 182,262,850 91,131,425 273,394,276 136,697,138 68,348,569 205,045,708 102,522,854 51,261,427 153,784,282 76,892,141 230,676,424 115,338,212 57,669,106 28,834,553 86,503,660 43,251,830 21,625,915 64,877,746 32,438,873 97,316,620 48,658,310 24,329,155 72,987,466 36,493,733 109,481,200 54,740,600 27,370,300 13,685,150 6,842,575 20,527,726 10,263,863 30,791,590 15,395,795 46,187,386 23,093,693 69,281,080 34,640,540 17,320,270 8,660,135 25,980,406 12,990,203 38,970,610 19,485,305 58,455,916 29,227,958 14,613,979 43,841,938

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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