2³ × 3 × 5 × 41 × 167

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 41 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,540,160

Proper Divisor Sum 1,718,520

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #821603 ← → #821641

1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 167 205 246 328 334 410 492 501 615 668 820 835 984 1,002 1,230 1,336 1,640 1,670 2,004 2,460 2,505 3,340 4,008 4,920 5,010 6,680 6,847 10,020 13,694 20,040 20,541 27,388 34,235 41,082 54,776 68,470 82,164 102,705 136,940 164,328

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

821,640 410,820 205,410 102,705 308,116 154,058 77,029 231,088 115,544 57,772 28,886 14,443 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218

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