2³ × 3⁵ × 19²

Prime Factor Structure

Factorization String 2^3 × 3^5 × 19^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,080,260

Proper Divisor Sum 1,378,476

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #701783 ← → #701791

1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 361 456 486 513 648 684 722 972 1,026 1,083 1,368 1,444 1,539 1,944 2,052 2,166 2,888 3,078 3,249 4,104 4,332 4,617 6,156 6,498 8,664 9,234 9,747 12,312 12,996 18,468 19,494

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

701,784 350,892 175,446 87,723 263,170 131,585 394,756 197,378 98,689 296,068 148,034 74,017 222,052 111,026 55,513 166,540 83,270 41,635 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728

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