2 × 3 × 7 × 11 × 23 × 821

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 23 × 821

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,726,656

Proper Divisor Sum 14,002,710

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8723933 ← → #8723947

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

8,723,946 4,361,973 13,085,920 6,542,960 3,271,480 1,635,740 817,870 408,935 1,226,806 613,403 1,840,210 920,105 2,760,316 1,380,158 690,079 2,070,238 1,035,119 3,105,358 1,552,679 4,658,038 2,329,019 6,987,058 3,493,529 10,480,588 5,240,294 2,620,147 7,860,442 3,930,221 11,790,664 5,895,332 2,947,666 1,473,833 4,421,500 2,210,750 1,105,375 3,316,126 1,658,063 4,974,190 2,487,095 7,461,286 3,730,643 11,191,930 5,595,965 16,787,896 8,393,948 4,196,974 2,098,487 6,295,462 3,147,731 9,443,194 4,721,597 14,164,792 7,082,396 3,541,198 1,770,599 5,311,798 2,655,899 7,967,698 3,983,849 11,951,548

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