3 × 5 × 7 × 11 × 41

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 96,768

Proper Divisor Sum 49,413

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #47353 ← → #47363

1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 385 451 615 861 1,155 1,353 1,435 2,255 3,157 4,305 6,765 9,471 15,785 47,355

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

47,355 142,066 71,033 213,100 106,550 53,275 159,826 79,913 239,740 119,870 59,935 179,806 89,903 269,710 134,855 404,566 202,283 606,850 303,425 910,276 455,138 227,569 682,708 341,354 170,677 512,032 256,016 128,008 64,004 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817

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