2² × 3 × 7² × 13 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 938,448

Proper Divisor Sum 625,044

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #313399 ← → #313409

1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 123 147 156 164 182 196 246 273 287 294 364 492 533 546 574 588 637 861 1,066 1,092 1,148 1,274 1,599 1,722 1,911 2,009 2,132 2,548 3,198 3,444 3,731 3,822 4,018 6,027 6,396 7,462 7,644 8,036

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

313,404 156,702 78,351 235,054 117,527 352,582 176,291 528,874 264,437 793,312 396,656 198,328 99,164 49,582 24,791 74,374 37,187 111,562 55,781 167,344 83,672 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332

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