2 × 3² × 5 × 7 × 349

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 349

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 655,200

Proper Divisor Sum 435,330

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #219851 ← → #219871

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 349 630 698 1,047 1,745 2,094 2,443 3,141 3,490 4,886 5,235 6,282 7,329 10,470 12,215 14,658 15,705 21,987 24,430 31,410 36,645 43,974 73,290 109,935 219,870

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

219,870 109,935 329,806 164,903 494,710 247,355 742,066 371,033 1,113,100 556,550 278,275 834,826 417,413 1,252,240 626,120 313,060 156,530 78,265 234,796 117,398 58,699 176,098 88,049 264,148 132,074 66,037 198,112 99,056 49,528 24,764 12,382 6,191 18,574 9,287 27,862 13,931 41,794 20,897 62,692 31,346 15,673 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219

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