3 × 5 × 7 × 11 × 13 × 47

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 13 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,548,288

Proper Divisor Sum 842,583

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #705689 ← → #705713

1 3 5 7 11 13 15 21 33 35 39 47 55 65 77 91 105 141 143 165 195 231 235 273 329 385 429 455 517 611 705 715 987 1,001 1,155 1,365 1,551 1,645 1,833 2,145 2,585 3,003 3,055 3,619 4,277 4,935 5,005 6,721 7,755 9,165 10,857 12,831 15,015 18,095 20,163 21,385 33,605 47,047 54,285 64,155

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

705,705 2,117,116 1,058,558 529,279 1,587,838 793,919 2,381,758 1,190,879 3,572,638 1,786,319 5,358,958 2,679,479 8,038,438 4,019,219 12,057,658 6,028,829 18,086,488 9,043,244 4,521,622 2,260,811 6,782,434 3,391,217 10,173,652 5,086,826 2,543,413 7,630,240 3,815,120 1,907,560 953,780 476,890 238,445 715,336 357,668 178,834 89,417 268,252 134,126 67,063 201,190 100,595 301,786 150,893 452,680 226,340 113,170 56,585 169,756 84,878 42,439 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140

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