2² × 7 × 17 × 37 × 47

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,838,592

Proper Divisor Sum 1,010,828

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #827741 ← → #827767

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

827,764 413,882 206,941 620,824 310,412 155,206 77,603 232,810 116,405 349,216 174,608 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255

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