3³ × 5 × 11 × 17²

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 884,160

Proper Divisor Sum 454,995

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #429161 ← → #429181

1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 289 297 459 495 561 765 867 935 1,445 1,485 1,683 2,295 2,601 2,805 3,179 4,335 5,049 7,803 8,415 9,537 13,005 15,895 25,245 28,611 39,015 47,685 85,833 143,055 429,165

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

429,165 1,287,496 643,748 321,874 160,937 482,812 241,406 120,703 362,110 181,055 543,166 271,583 814,750 407,375 1,222,126 611,063 1,833,190 916,595 2,749,786 1,374,893 4,124,680 2,062,340 1,031,170 515,585 1,546,756 773,378 386,689 1,160,068 580,034 290,017 870,052 435,026 217,513 652,540 326,270 163,135 489,406 244,703 734,110 367,055 1,101,166 550,583 1,651,750 825,875 2,477,626 1,238,813 3,716,440 1,858,220 929,110 464,555 1,393,666 696,833 2,090,500 1,045,250 522,625 1,567,876 783,938 391,969 1,175,908 587,954

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