2 × 3² × 7 × 17 × 19²

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,139,696

Proper Divisor Sum 1,366,434

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #773251 ← → #773273

1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 361 399 646 714 722 798 969 1,071 1,083 1,197 1,938 2,142 2,166 2,261 2,394 2,527 2,907 3,249 4,522 5,054 5,814 6,137 6,498 6,783 7,581 12,274 13,566 15,162 18,411 20,349

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

773,262 386,631 1,159,894 579,947 1,739,842 869,921 2,609,764 1,304,882 652,441 1,957,324 978,662 489,331 1,467,994 733,997 2,201,992 1,100,996 550,498 275,249 825,748 412,874 206,437 619,312 309,656 154,828 77,414 38,707 116,122 58,061 174,184 87,092 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912

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