2 × 3 × 7 × 71 × 73

Prime Factor Structure

Factorization String 2 × 3 × 7 × 71 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 511,488

Proper Divisor Sum 293,802

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #217681 ← → #217687

1 2 3 6 7 14 21 42 71 73 142 146 213 219 426 438 497 511 994 1,022 1,491 1,533 2,982 3,066 5,183 10,366 15,549 31,098 36,281 72,562 108,843 217,686

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

217,686 108,843 326,530 163,265 489,796 244,898 122,449 367,348 183,674 91,837 275,512 137,756 68,878 34,439 103,318 51,659 154,978 77,489 232,468 116,234 58,117 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382

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