2² × 3² × 11 × 1277

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 1277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,395,576

Proper Divisor Sum 889,884

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #505691 ← → #505693

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1,277 2,554 3,831 5,108 7,662 11,493 14,047 15,324 22,986 28,094 42,141 45,972 56,188 84,282 126,423 168,564 252,846 505,692

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

505,692 252,846 126,423 379,270 189,635 568,906 284,453 853,360 426,680 213,340 106,670 53,335 160,006 80,003 240,010 120,005 360,016 180,008 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276

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