3 × 7 × 11 × 199

Prime Factor Structure

Factorization String 3 × 7 × 11 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 76,800

Proper Divisor Sum 30,831

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #45959 ← → #45971

1 3 7 11 21 33 77 199 231 597 1,393 2,189 4,179 6,567 15,323 45,969

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

45,969 137,908 68,954 34,477 103,432 51,716 25,858 12,929 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510

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