2³ × 5 × 13 × 19 × 29²

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 19 × 29^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,949,200

Proper Divisor Sum 13,640,120

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8309071 ← → #8309123

1 2 4 5 8 10 13 19 20 26 29 38 40 52 58 65 76 95 104 116 130 145 152 190 232 247 260 290 377 380 494 520 551 580 754 760 841 988 1,102 1,160 1,235 1,508 1,682 1,885 1,976 2,204 2,470 2,755 3,016 3,364 3,770 4,205 4,408 4,940 5,510 6,728 7,163 7,540 8,410 9,880

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

8,309,080 4,154,540 2,077,270 1,038,635 3,115,906 1,557,953 4,673,860 2,336,930 1,168,465 3,505,396 1,752,698 876,349 2,629,048 1,314,524 657,262 328,631 985,894 492,947 1,478,842 739,421 2,218,264 1,109,132 554,566 277,283 831,850 415,925 1,247,776 623,888 311,944 155,972 77,986 38,993 116,980 58,490 29,245 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

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