2 × 3 × 5 × 7² × 67 × 89

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 67 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,116,480

Proper Divisor Sum 16,350,870

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8765597 ← → #8765611

1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 89 98 105 134 147 178 201 210 245 267 294 335 402 445 469 490 534 623 670 735 890 938 1,005 1,246 1,335 1,407 1,470 1,869 2,010 2,345 2,670 2,814 3,115 3,283 3,738 4,361 4,690 5,963 6,230 6,566 7,035 8,722 9,345 9,849

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

8,765,610 4,382,805 13,148,416 6,574,208 3,287,104 1,643,552 821,776 410,888 205,444 102,722 51,361 154,084 77,042 38,521 115,564 57,782 28,891 86,674 43,337 130,012 65,006 32,503 97,510 48,755 146,266 73,133 219,400 109,700 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274

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