2 × 3³ × 7 × 19 × 109

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 19 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,112,000

Proper Divisor Sum 1,329,162

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #782791 ← → #782839

1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 109 114 126 133 171 189 218 266 327 342 378 399 513 654 763 798 981 1,026 1,197 1,526 1,962 2,071 2,289 2,394 2,943 3,591 4,142 4,578 5,886 6,213 6,867 7,182 12,426 13,734 14,497 18,639 20,601 28,994 37,278 41,202 43,491 55,917 86,982 111,834

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

782,838 391,419 1,174,258 587,129 1,761,388 880,694 440,347 1,321,042 660,521 1,981,564 990,782 495,391 1,486,174 743,087 2,229,262 1,114,631 3,343,894 1,671,947 5,015,842 2,507,921 7,523,764 3,761,882 1,880,941 5,642,824 2,821,412 1,410,706 705,353 2,116,060 1,058,030 529,015 1,587,046 793,523 2,380,570 1,190,285 3,570,856 1,785,428 892,714 446,357 1,339,072 669,536 334,768 167,384 83,692 41,846 20,923 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794

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