3 × 7² × 17 × 19

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 82,080

Proper Divisor Sum 34,599

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #47459 ← → #47491

1 3 7 17 19 21 49 51 57 119 133 147 323 357 399 833 931 969 2,261 2,499 2,793 6,783 15,827 47,481

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

47,481 142,444 71,222 35,611 106,834 53,417 160,252 80,126 40,063 120,190 60,095 180,286 90,143 270,430 135,215 405,646 202,823 608,470 304,235 912,706 456,353 1,369,060 684,530 342,265 1,026,796 513,398 256,699 770,098 385,049 1,155,148 577,574 288,787 866,362 433,181 1,299,544 649,772 324,886 162,443 487,330 243,665 730,996 365,498 182,749 548,248 274,124 137,062 68,531 205,594 102,797 308,392 154,196 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807

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