λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,589,340
2,589,340
22 × 5 × 13 × 23 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 23 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,124,608
Proper Divisor Sum 3,535,268
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2589319 ← → #2589341

Radix Representation

Decimal 2589340
Binary 1001111000001010011100 (22 bits)
Octal 0o11701234
Hexadecimal 0x27829C

Divisor Catalog (48)

1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 433 460 598 866 1,196 1,495 1,732 2,165 2,990 4,330 5,629 5,980 8,660 9,959 11,258 19,918 22,516 28,145 39,836 49,795 56,290 99,590 112,580 129,467 199,180 258,934 517,868 647,335 1,294,670 2,589,340

Collatz Trajectory (205 steps to reach 1)

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

2,589,340 1,294,670 647,335 1,942,006 971,003 2,913,010 1,456,505 4,369,516 2,184,758 1,092,379 3,277,138 1,638,569 4,915,708 2,457,854 1,228,927 3,686,782 1,843,391 5,530,174 2,765,087 8,295,262 4,147,631 12,442,894 6,221,447 18,664,342 9,332,171 27,996,514 13,998,257 41,994,772 20,997,386 10,498,693 31,496,080 15,748,040 7,874,020 3,937,010 1,968,505 5,905,516 2,952,758 1,476,379 4,429,138 2,214,569 6,643,708 3,321,854 1,660,927 4,982,782 2,491,391 7,474,174 3,737,087 11,211,262 5,605,631 16,816,894 8,408,447 25,225,342 12,612,671 37,838,014 18,919,007 56,757,022 28,378,511 85,135,534 42,567,767 127,703,302

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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