2² × 5² × 7 × 29 × 443

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 29 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,123,520

Proper Divisor Sum 14,130,620

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8992897 ← → #8992901

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

8,992,900 4,496,450 2,248,225 6,744,676 3,372,338 1,686,169 5,058,508 2,529,254 1,264,627 3,793,882 1,896,941 5,690,824 2,845,412 1,422,706 711,353 2,134,060 1,067,030 533,515 1,600,546 800,273 2,400,820 1,200,410 600,205 1,800,616 900,308 450,154 225,077 675,232 337,616 168,808 84,404 42,202 21,101 63,304 31,652 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585

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