3³ × 5² × 11 × 17 × 31

Prime Factor Structure

Factorization String 3^3 × 5^2 × 11 × 17 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,570,880

Proper Divisor Sum 4,657,905

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3912973 ← → #3912983

1 3 5 9 11 15 17 25 27 31 33 45 51 55 75 85 93 99 135 153 155 165 187 225 255 275 279 297 341 425 459 465 495 527 561 675 765 775 825 837 935 1,023 1,275 1,395 1,485 1,581 1,683 1,705 2,295 2,325 2,475 2,635 2,805 3,069 3,825 4,185 4,675 4,743 5,049 5,115

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

3,912,975 11,738,926 5,869,463 17,608,390 8,804,195 26,412,586 13,206,293 39,618,880 19,809,440 9,904,720 4,952,360 2,476,180 1,238,090 619,045 1,857,136 928,568 464,284 232,142 116,071 348,214 174,107 522,322 261,161 783,484 391,742 195,871 587,614 293,807 881,422 440,711 1,322,134 661,067 1,983,202 991,601 2,974,804 1,487,402 743,701 2,231,104 1,115,552 557,776 278,888 139,444 69,722 34,861 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138

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