2 × 3⁶ × 19

Prime Factor Structure

Factorization String 2 × 3^6 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 65,580

Proper Divisor Sum 37,878

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27701 ← → #27733

1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1,026 1,458 1,539 3,078 4,617 9,234 13,851 27,702

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

27,702 13,851 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176

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