λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,323,638
26,323,638
2 × 3 × 11 × 23 × 17341
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23 × 17341
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,933,952
Proper Divisor Sum 33,610,314
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26323637 ← → #26323651

Radix Representation

Decimal 26323638
Binary 1100100011010101010110110 (25 bits)
Octal 0o144325266
Hexadecimal 0x191AAB6

Divisor Catalog (32)

1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1,518 17,341 34,682 52,023 104,046 190,751 381,502 398,843 572,253 797,686 1,144,506 1,196,529 2,393,058 4,387,273 8,774,546 13,161,819 26,323,638

Collatz Trajectory (317 steps to reach 1)

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

26,323,638 13,161,819 39,485,458 19,742,729 59,228,188 29,614,094 14,807,047 44,421,142 22,210,571 66,631,714 33,315,857 99,947,572 49,973,786 24,986,893 74,960,680 37,480,340 18,740,170 9,370,085 28,110,256 14,055,128 7,027,564 3,513,782 1,756,891 5,270,674 2,635,337 7,906,012 3,953,006 1,976,503 5,929,510 2,964,755 8,894,266 4,447,133 13,341,400 6,670,700 3,335,350 1,667,675 5,003,026 2,501,513 7,504,540 3,752,270 1,876,135 5,628,406 2,814,203 8,442,610 4,221,305 12,663,916 6,331,958 3,165,979 9,497,938 4,748,969 14,246,908 7,123,454 3,561,727 10,685,182 5,342,591 16,027,774 8,013,887 24,041,662 12,020,831 36,062,494

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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