2 × 3 × 11 × 13 × 19²

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 768,096

Proper Divisor Sum 458,358

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #309737 ← → #309769

1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 361 418 429 494 627 722 741 858 1,083 1,254 1,482 2,166 2,717 3,971 4,693 5,434 7,942 8,151 9,386 11,913 14,079 16,302 23,826 28,158 51,623 103,246 154,869 309,738

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

309,738 154,869 464,608 232,304 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328

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