3² × 5 × 7² × 11 × 17

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 960,336

Proper Divisor Sum 548,001

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #412333 ← → #412339

1 3 5 7 9 11 15 17 21 33 35 45 49 51 55 63 77 85 99 105 119 147 153 165 187 231 245 255 315 357 385 441 495 539 561 595 693 735 765 833 935 1,071 1,155 1,309 1,617 1,683 1,785 2,205 2,499 2,695 2,805 3,465 3,927 4,165 4,851 5,355 6,545 7,497 8,085 8,415

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

412,335 1,237,006 618,503 1,855,510 927,755 2,783,266 1,391,633 4,174,900 2,087,450 1,043,725 3,131,176 1,565,588 782,794 391,397 1,174,192 587,096 293,548 146,774 73,387 220,162 110,081 330,244 165,122 82,561 247,684 123,842 61,921 185,764 92,882 46,441 139,324 69,662 34,831 104,494 52,247 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618

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