2³ × 5² × 47 × 1063

Prime Factor Structure

Factorization String 2^3 × 5^2 × 47 × 1063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,748,480

Proper Divisor Sum 13,756,280

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9992197 ← → #9992201

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

9,992,200 4,996,100 2,498,050 1,249,025 3,747,076 1,873,538 936,769 2,810,308 1,405,154 702,577 2,107,732 1,053,866 526,933 1,580,800 790,400 395,200 197,600 98,800 49,400 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570

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