2⁷ × 5 × 11² × 109

Prime Factor Structure

Factorization String 2^7 × 5 × 11^2 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,383,900

Proper Divisor Sum 13,942,940

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8440919 ← → #8440961

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 121 128 160 176 218 220 242 320 352 436 440 484 545 605 640 704 872 880 968 1,090 1,199 1,210 1,408 1,744 1,760 1,936 2,180 2,398 2,420 3,488 3,520 3,872 4,360 4,796 4,840 5,995 6,976 7,040 7,744 8,720 9,592

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

8,440,960 4,220,480 2,110,240 1,055,120 527,560 263,780 131,890 65,945 197,836 98,918 49,459 148,378 74,189 222,568 111,284 55,642 27,821 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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