λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,317,800
26,317,800
23 × 32 × 52 × 14621
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 14621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 88,389,990
Proper Divisor Sum 62,072,190
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26317799 ← → #26317807

Radix Representation

Decimal 26317800
Binary 1100100011001001111101000 (25 bits)
Octal 0o144311750
Hexadecimal 0x19193E8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1,800 14,621 29,242 43,863 58,484 73,105 87,726 116,968 131,589 146,210 175,452 219,315 263,178 292,420 350,904 365,525 438,630 526,356 584,840 657,945 731,050 877,260 1,052,712 1,096,575 1,315,890

Collatz Trajectory (224 steps to reach 1)

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

26,317,800 13,158,900 6,579,450 3,289,725 9,869,176 4,934,588 2,467,294 1,233,647 3,700,942 1,850,471 5,551,414 2,775,707 8,327,122 4,163,561 12,490,684 6,245,342 3,122,671 9,368,014 4,684,007 14,052,022 7,026,011 21,078,034 10,539,017 31,617,052 15,808,526 7,904,263 23,712,790 11,856,395 35,569,186 17,784,593 53,353,780 26,676,890 13,338,445 40,015,336 20,007,668 10,003,834 5,001,917 15,005,752 7,502,876 3,751,438 1,875,719 5,627,158 2,813,579 8,440,738 4,220,369 12,661,108 6,330,554 3,165,277 9,495,832 4,747,916 2,373,958 1,186,979 3,560,938 1,780,469 5,341,408 2,670,704 1,335,352 667,676 333,838 166,919

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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