λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,315,874
26,315,874
2 × 33 × 13 × 19 × 1973
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 19 × 1973
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 66,326,400
Proper Divisor Sum 40,010,526
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26315873 ← → #26315879

Radix Representation

Decimal 26315874
Binary 1100100011000110001100010 (25 bits)
Octal 0o144306142
Hexadecimal 0x1918C62

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1,026 1,482 1,973 2,223 3,946 4,446 5,919 6,669 11,838 13,338 17,757 25,649 35,514 37,487 51,298 53,271 74,974 76,947 106,542 112,461 153,894 224,922 230,841 337,383 461,682 487,331 674,766 692,523 974,662 1,012,149 1,385,046 1,461,993 2,024,298 2,923,986

Collatz Trajectory (260 steps to reach 1)

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

26,315,874 13,157,937 39,473,812 19,736,906 9,868,453 29,605,360 14,802,680 7,401,340 3,700,670 1,850,335 5,551,006 2,775,503 8,326,510 4,163,255 12,489,766 6,244,883 18,734,650 9,367,325 28,101,976 14,050,988 7,025,494 3,512,747 10,538,242 5,269,121 15,807,364 7,903,682 3,951,841 11,855,524 5,927,762 2,963,881 8,891,644 4,445,822 2,222,911 6,668,734 3,334,367 10,003,102 5,001,551 15,004,654 7,502,327 22,506,982 11,253,491 33,760,474 16,880,237 50,640,712 25,320,356 12,660,178 6,330,089 18,990,268 9,495,134 4,747,567 14,242,702 7,121,351 21,364,054 10,682,027 32,046,082 16,023,041 48,069,124 24,034,562 12,017,281 36,051,844

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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