2⁴ × 3 × 7 × 17 × 419

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 17 × 419

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 7,499,520

Proper Divisor Sum 5,106,192

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2393327 ← → #2393351

1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 419 476 714 816 838 952 1,257 1,428 1,676 1,904 2,514 2,856 2,933 3,352 5,028 5,712 5,866 6,704 7,123 8,799 10,056 11,732 14,246 17,598 20,112 21,369 23,464 28,492

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

2,393,328 1,196,664 598,332 299,166 149,583 448,750 224,375 673,126 336,563 1,009,690 504,845 1,514,536 757,268 378,634 189,317 567,952 283,976 141,988 70,994 35,497 106,492 53,246 26,623 79,870 39,935 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951

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