3 × 5 × 7² × 11³ × 17

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11^3 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 36,049,536

Proper Divisor Sum 19,418,691

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #16630829 ← → #16630847

1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 105 119 121 147 165 187 231 245 255 357 363 385 539 561 595 605 735 833 847 935 1,155 1,309 1,331 1,617 1,785 1,815 2,057 2,499 2,541 2,695 2,805 3,927 3,993 4,165 4,235 5,929 6,171 6,545 6,655 8,085 9,163 9,317 10,285 12,495 12,705

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

16,630,845 49,892,536 24,946,268 12,473,134 6,236,567 18,709,702 9,354,851 28,064,554 14,032,277 42,096,832 21,048,416 10,524,208 5,262,104 2,631,052 1,315,526 657,763 1,973,290 986,645 2,959,936 1,479,968 739,984 369,992 184,996 92,498 46,249 138,748 69,374 34,687 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581

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