3 × 5 × 7 × 11 × 17 × 47

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 17 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,990,656

Proper Divisor Sum 1,067,811

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #922813 ← → #922853

1 3 5 7 11 15 17 21 33 35 47 51 55 77 85 105 119 141 165 187 231 235 255 329 357 385 517 561 595 705 799 935 987 1,155 1,309 1,551 1,645 1,785 2,397 2,585 2,805 3,619 3,927 3,995 4,935 5,593 6,545 7,755 8,789 10,857 11,985 16,779 18,095 19,635 26,367 27,965 43,945 54,285 61,523 83,895

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

922,845 2,768,536 1,384,268 692,134 346,067 1,038,202 519,101 1,557,304 778,652 389,326 194,663 583,990 291,995 875,986 437,993 1,313,980 656,990 328,495 985,486 492,743 1,478,230 739,115 2,217,346 1,108,673 3,326,020 1,663,010 831,505 2,494,516 1,247,258 623,629 1,870,888 935,444 467,722 233,861 701,584 350,792 175,396 87,698 43,849 131,548 65,774 32,887 98,662 49,331 147,994 73,997 221,992 110,996 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416 11,708 5,854

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