λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,323,947
26,323,947
35 × 132 × 641
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 13^2 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 42,764,904
Proper Divisor Sum 16,440,957
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26323907 ← → #26323961

Radix Representation

Decimal 26323947
Binary 1100100011010101111101011 (25 bits)
Octal 0o144325753
Hexadecimal 0x191ABEB

Divisor Catalog (36)

1 3 9 13 27 39 81 117 169 243 351 507 641 1,053 1,521 1,923 3,159 4,563 5,769 8,333 13,689 17,307 24,999 41,067 51,921 74,997 108,329 155,763 224,991 324,987 674,973 974,961 2,024,919 2,924,883 8,774,649 26,323,947

Collatz Trajectory (172 steps to reach 1)

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

26,323,947 78,971,842 39,485,921 118,457,764 59,228,882 29,614,441 88,843,324 44,421,662 22,210,831 66,632,494 33,316,247 99,948,742 49,974,371 149,923,114 74,961,557 224,884,672 112,442,336 56,221,168 28,110,584 14,055,292 7,027,646 3,513,823 10,541,470 5,270,735 15,812,206 7,906,103 23,718,310 11,859,155 35,577,466 17,788,733 53,366,200 26,683,100 13,341,550 6,670,775 20,012,326 10,006,163 30,018,490 15,009,245 45,027,736 22,513,868 11,256,934 5,628,467 16,885,402 8,442,701 25,328,104 12,664,052 6,332,026 3,166,013 9,498,040 4,749,020 2,374,510 1,187,255 3,561,766 1,780,883 5,342,650 2,671,325 8,013,976 4,006,988 2,003,494 1,001,747

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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