3² × 5 × 7² × 11³

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 11^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,508,944

Proper Divisor Sum 3,574,089

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2934847 ← → #2934859

1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 121 147 165 231 245 315 363 385 441 495 539 605 693 735 847 1,089 1,155 1,331 1,617 1,815 2,205 2,541 2,695 3,465 3,993 4,235 4,851 5,445 5,929 6,655 7,623 8,085 9,317 11,979 12,705 17,787 19,965 24,255 27,951 29,645 38,115 46,585 53,361

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

2,934,855 8,804,566 4,402,283 13,206,850 6,603,425 19,810,276 9,905,138 4,952,569 14,857,708 7,428,854 3,714,427 11,143,282 5,571,641 16,714,924 8,357,462 4,178,731 12,536,194 6,268,097 18,804,292 9,402,146 4,701,073 14,103,220 7,051,610 3,525,805 10,577,416 5,288,708 2,644,354 1,322,177 3,966,532 1,983,266 991,633 2,974,900 1,487,450 743,725 2,231,176 1,115,588 557,794 278,897 836,692 418,346 209,173 627,520 313,760 156,880 78,440 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104

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