3 × 5 × 7 × 11² × 31

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 817,152

Proper Divisor Sum 423,297

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #393853 ← → #393857

1 3 5 7 11 15 21 31 33 35 55 77 93 105 121 155 165 217 231 341 363 385 465 605 651 847 1,023 1,085 1,155 1,705 1,815 2,387 2,541 3,255 3,751 4,235 5,115 7,161 11,253 11,935 12,705 18,755 26,257 35,805 56,265 78,771 131,285 393,855

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

393,855 1,181,566 590,783 1,772,350 886,175 2,658,526 1,329,263 3,987,790 1,993,895 5,981,686 2,990,843 8,972,530 4,486,265 13,458,796 6,729,398 3,364,699 10,094,098 5,047,049 15,141,148 7,570,574 3,785,287 11,355,862 5,677,931 17,033,794 8,516,897 25,550,692 12,775,346 6,387,673 19,163,020 9,581,510 4,790,755 14,372,266 7,186,133 21,558,400 10,779,200 5,389,600 2,694,800 1,347,400 673,700 336,850 168,425 505,276 252,638 126,319 378,958 189,479 568,438 284,219 852,658 426,329 1,278,988 639,494 319,747 959,242 479,621 1,438,864 719,432 359,716 179,858 89,929

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