2⁴ × 5³ × 47 × 83

Prime Factor Structure

Factorization String 2^4 × 5^3 × 47 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 19,498,752

Proper Divisor Sum 11,696,752

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7801999 ← → #7802009

1 2 4 5 8 10 16 20 25 40 47 50 80 83 94 100 125 166 188 200 235 250 332 376 400 415 470 500 664 752 830 940 1,000 1,175 1,328 1,660 1,880 2,000 2,075 2,350 3,320 3,760 3,901 4,150 4,700 5,875 6,640 7,802 8,300 9,400 10,375 11,750 15,604 16,600 18,800 19,505 20,750 23,500 31,208 33,200

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

7,802,000 3,901,000 1,950,500 975,250 487,625 1,462,876 731,438 365,719 1,097,158 548,579 1,645,738 822,869 2,468,608 1,234,304 617,152 308,576 154,288 77,144 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260

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