3 × 7 × 11 × 257

Prime Factor Structure

Factorization String 3 × 7 × 11 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 99,072

Proper Divisor Sum 39,705

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #59359 ← → #59369

1 3 7 11 21 33 77 231 257 771 1,799 2,827 5,397 8,481 19,789 59,367

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

59,367 178,102 89,051 267,154 133,577 400,732 200,366 100,183 300,550 150,275 450,826 225,413 676,240 338,120 169,060 84,530 42,265 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261

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