2³ × 3² × 7 × 821

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,282,320

Proper Divisor Sum 868,536

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #413783 ← → #413807

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 821 1,642 2,463 3,284 4,926 5,747 6,568 7,389 9,852 11,494 14,778 17,241 19,704 22,988 29,556 34,482 45,976 51,723 59,112 68,964 103,446 137,928 206,892 413,784

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

413,784 206,892 103,446 51,723 155,170 77,585 232,756 116,378 58,189 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766

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