2 × 3² × 7 × 11 × 31

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 119,808

Proper Divisor Sum 76,842

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #42961 ← → #42967

1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 341 434 462 558 651 682 693 1,023 1,302 1,386 1,953 2,046 2,387 3,069 3,906 4,774 6,138 7,161 14,322 21,483 42,966

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

42,966 21,483 64,450 32,225 96,676 48,338 24,169 72,508 36,254 18,127 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637

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