2 × 3² × 7² × 53 × 67

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 53 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,162,856

Proper Divisor Sum 5,030,874

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3131981 ← → #3131983

1 2 3 6 7 9 14 18 21 42 49 53 63 67 98 106 126 134 147 159 201 294 318 371 402 441 469 477 603 742 882 938 954 1,113 1,206 1,407 2,226 2,597 2,814 3,283 3,339 3,551 4,221 5,194 6,566 6,678 7,102 7,791 8,442 9,849 10,653 15,582 19,698 21,306 23,373 24,857 29,547 31,959 46,746 49,714

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

3,131,982 1,565,991 4,697,974 2,348,987 7,046,962 3,523,481 10,570,444 5,285,222 2,642,611 7,927,834 3,963,917 11,891,752 5,945,876 2,972,938 1,486,469 4,459,408 2,229,704 1,114,852 557,426 278,713 836,140 418,070 209,035 627,106 313,553 940,660 470,330 235,165 705,496 352,748 176,374 88,187 264,562 132,281 396,844 198,422 99,211 297,634 148,817 446,452 223,226 111,613 334,840 167,420 83,710 41,855 125,566 62,783 188,350 94,175 282,526 141,263 423,790 211,895 635,686 317,843 953,530 476,765 1,430,296 715,148

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