2 × 3 × 7 × 827

Prime Factor Structure

Factorization String 2 × 3 × 7 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 79,488

Proper Divisor Sum 44,754

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #34729 ← → #34739

1 2 3 6 7 14 21 42 827 1,654 2,481 4,962 5,789 11,578 17,367 34,734

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

34,734 17,367 52,102 26,051 78,154 39,077 117,232 58,616 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

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