λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,759,588
12,759,588
22 × 32 × 17 × 20849
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 20849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 34,152,300
Proper Divisor Sum 21,392,712
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #12759587 ← → #12759599

Radix Representation

Decimal 12759588
Binary 110000101011001000100100 (24 bits)
Octal 0o60531044
Hexadecimal 0xC2B224

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20,849 41,698 62,547 83,396 125,094 187,641 250,188 354,433 375,282 708,866 750,564 1,063,299 1,417,732 2,126,598 3,189,897 4,253,196 6,379,794 12,759,588

Collatz Trajectory (241 steps to reach 1)

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

12,759,588 6,379,794 3,189,897 9,569,692 4,784,846 2,392,423 7,177,270 3,588,635 10,765,906 5,382,953 16,148,860 8,074,430 4,037,215 12,111,646 6,055,823 18,167,470 9,083,735 27,251,206 13,625,603 40,876,810 20,438,405 61,315,216 30,657,608 15,328,804 7,664,402 3,832,201 11,496,604 5,748,302 2,874,151 8,622,454 4,311,227 12,933,682 6,466,841 19,400,524 9,700,262 4,850,131 14,550,394 7,275,197 21,825,592 10,912,796 5,456,398 2,728,199 8,184,598 4,092,299 12,276,898 6,138,449 18,415,348 9,207,674 4,603,837 13,811,512 6,905,756 3,452,878 1,726,439 5,179,318 2,589,659 7,768,978 3,884,489 11,653,468 5,826,734 2,913,367

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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