2² × 5² × 4001

Prime Factor Structure

Factorization String 2^2 × 5^2 × 4001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 868,434

Proper Divisor Sum 468,334

Digit Sum / Digital Root 5 (Root: 5)

Adjacent Primes #400093 ← → #400109

1 2 4 5 10 20 25 50 100 4,001 8,002 16,004 20,005 40,010 80,020 100,025 200,050 400,100

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

400,100 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542

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