3⁸ × 5² × 11 × 23

Prime Factor Structure

Factorization String 3^8 × 5^2 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 87,860,448

Proper Divisor Sum 46,362,123

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41498323 ← → #41498329

1 3 5 9 11 15 23 25 27 33 45 55 69 75 81 99 115 135 165 207 225 243 253 275 297 345 405 495 575 621 675 729 759 825 891 1,035 1,215 1,265 1,485 1,725 1,863 2,025 2,187 2,277 2,475 2,673 3,105 3,645 3,795 4,455 5,175 5,589 6,075 6,325 6,561 6,831 7,425 8,019 9,315 10,935

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

41,498,325 124,494,976 62,247,488 31,123,744 15,561,872 7,780,936 3,890,468 1,945,234 972,617 2,917,852 1,458,926 729,463 2,188,390 1,094,195 3,282,586 1,641,293 4,923,880 2,461,940 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219

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