2 × 3² × 5 × 13 × 31 × 229

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 31 × 229

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,111,360

Proper Divisor Sum 15,805,530

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8305813 ← → #8305849

1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 229 234 279 310 390 403 458 465 558 585 687 806 930 1,145 1,170 1,209 1,374 1,395 2,015 2,061 2,290 2,418 2,790 2,977 3,435 3,627 4,030 4,122 5,954 6,045 6,870 7,099 7,254 8,931 10,305

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

8,305,830 4,152,915 12,458,746 6,229,373 18,688,120 9,344,060 4,672,030 2,336,015 7,008,046 3,504,023 10,512,070 5,256,035 15,768,106 7,884,053 23,652,160 11,826,080 5,913,040 2,956,520 1,478,260 739,130 369,565 1,108,696 554,348 277,174 138,587 415,762 207,881 623,644 311,822 155,911 467,734 233,867 701,602 350,801 1,052,404 526,202 263,101 789,304 394,652 197,326 98,663 295,990 147,995 443,986 221,993 665,980 332,990 166,495 499,486 249,743 749,230 374,615 1,123,846 561,923 1,685,770 842,885 2,528,656 1,264,328 632,164 316,082

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