2 × 3² × 5 × 7 × 29 × 443

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 29 × 443

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,935,040

Proper Divisor Sum 16,841,430

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8093599 ← → #8093611

1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 443 522 609 630 870 886 1,015 1,218 1,305 1,329 1,827 2,030 2,215 2,610 2,658 3,045 3,101 3,654 3,987 4,430 6,090 6,202 6,645 7,974 9,135 9,303 12,847

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

8,093,610 4,046,805 12,140,416 6,070,208 3,035,104 1,517,552 758,776 379,388 189,694 94,847 284,542 142,271 426,814 213,407 640,222 320,111 960,334 480,167 1,440,502 720,251 2,160,754 1,080,377 3,241,132 1,620,566 810,283 2,430,850 1,215,425 3,646,276 1,823,138 911,569 2,734,708 1,367,354 683,677 2,051,032 1,025,516 512,758 256,379 769,138 384,569 1,153,708 576,854 288,427 865,282 432,641 1,297,924 648,962 324,481 973,444 486,722 243,361 730,084 365,042 182,521 547,564 273,782 136,891 410,674 205,337 616,012 308,006

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