2 × 7 × 11 × 13² × 17

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13^2 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 948,672

Proper Divisor Sum 506,230

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #442439 ← → #442447

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

442,442 221,221 663,664 331,832 165,916 82,958 41,479 124,438 62,219 186,658 93,329 279,988 139,994 69,997 209,992 104,996 52,498 26,249 78,748 39,374 19,687 59,062 29,531 88,594 44,297 132,892 66,446 33,223 99,670 49,835 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846

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