3 × 7 × 13 × 19²

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 170,688

Proper Divisor Sum 72,135

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #98543 ← → #98561

1 3 7 13 19 21 39 57 91 133 247 273 361 399 741 1,083 1,729 2,527 4,693 5,187 7,581 14,079 32,851 98,553

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

98,553 295,660 147,830 73,915 221,746 110,873 332,620 166,310 83,155 249,466 124,733 374,200 187,100 93,550 46,775 140,326 70,163 210,490 105,245 315,736 157,868 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976 12,488 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628

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