3² × 7² × 11 × 23 × 71

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 23 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,365,376

Proper Divisor Sum 7,443,693

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7921679 ← → #7921687

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

7,921,683 23,765,050 11,882,525 35,647,576 17,823,788 8,911,894 4,455,947 13,367,842 6,683,921 20,051,764 10,025,882 5,012,941 15,038,824 7,519,412 3,759,706 1,879,853 5,639,560 2,819,780 1,409,890 704,945 2,114,836 1,057,418 528,709 1,586,128 793,064 396,532 198,266 99,133 297,400 148,700 74,350 37,175 111,526 55,763 167,290 83,645 250,936 125,468 62,734 31,367 94,102 47,051 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396

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