3³ × 7² × 19 × 31

Prime Factor Structure

Factorization String 3^3 × 7^2 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,459,200

Proper Divisor Sum 679,953

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #779239 ← → #779249

1 3 7 9 19 21 27 31 49 57 63 93 133 147 171 189 217 279 399 441 513 589 651 837 931 1,197 1,323 1,519 1,767 1,953 2,793 3,591 4,123 4,557 5,301 5,859 8,379 12,369 13,671 15,903 25,137 28,861 37,107 41,013 86,583 111,321 259,749 779,247

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

779,247 2,337,742 1,168,871 3,506,614 1,753,307 5,259,922 2,629,961 7,889,884 3,944,942 1,972,471 5,917,414 2,958,707 8,876,122 4,438,061 13,314,184 6,657,092 3,328,546 1,664,273 4,992,820 2,496,410 1,248,205 3,744,616 1,872,308 936,154 468,077 1,404,232 702,116 351,058 175,529 526,588 263,294 131,647 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467 1,999,402 999,701 2,999,104 1,499,552 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720 26,360 13,180 6,590 3,295 9,886 4,943

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