λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,017,518
32,017,518
2 × 34 × 13 × 23 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 23 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 80,742,816
Proper Divisor Sum 48,725,298
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32017501 ← → #32017523

Radix Representation

Decimal 32017518
Binary 1111010001000110001101110 (25 bits)
Octal 0o172106156
Hexadecimal 0x1E88C6E

Divisor Catalog (60 of 80)

1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 661 702 897 1,053 1,242 1,322 1,794 1,863 1,983 2,106 2,691 3,726 3,966 5,382 5,949 8,073 8,593 11,898 15,203 16,146 17,186 17,847 24,219 25,779 30,406 35,694 45,609 48,438 51,558 53,541 77,337 91,218 107,082 136,827

Collatz Trajectory (144 steps to reach 1)

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

32,017,518 16,008,759 48,026,278 24,013,139 72,039,418 36,019,709 108,059,128 54,029,564 27,014,782 13,507,391 40,522,174 20,261,087 60,783,262 30,391,631 91,174,894 45,587,447 136,762,342 68,381,171 205,143,514 102,571,757 307,715,272 153,857,636 76,928,818 38,464,409 115,393,228 57,696,614 28,848,307 86,544,922 43,272,461 129,817,384 64,908,692 32,454,346 16,227,173 48,681,520 24,340,760 12,170,380 6,085,190 3,042,595 9,127,786 4,563,893 13,691,680 6,845,840 3,422,920 1,711,460 855,730 427,865 1,283,596 641,798 320,899 962,698 481,349 1,444,048 722,024 361,012 180,506 90,253 270,760 135,380 67,690 33,845

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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