3 × 7 × 11² × 13²

Prime Factor Structure

Factorization String 3 × 7 × 11^2 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 778,848

Proper Divisor Sum 349,419

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #429427 ← → #429431

1 3 7 11 13 21 33 39 77 91 121 143 169 231 273 363 429 507 847 1,001 1,183 1,573 1,859 2,541 3,003 3,549 4,719 5,577 11,011 13,013 20,449 33,033 39,039 61,347 143,143 429,429

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

429,429 1,288,288 644,144 322,072 161,036 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726

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