2² × 5 × 7³ × 73

Prime Factor Structure

Factorization String 2^2 × 5 × 7^3 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,243,200

Proper Divisor Sum 742,420

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #500777 ← → #500791

1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 343 365 490 511 686 730 980 1,022 1,372 1,460 1,715 2,044 2,555 3,430 3,577 5,110 6,860 7,154 10,220 14,308 17,885 25,039 35,770 50,078 71,540 100,156 125,195 250,390 500,780

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

500,780 250,390 125,195 375,586 187,793 563,380 281,690 140,845 422,536 211,268 105,634 52,817 158,452 79,226 39,613 118,840 59,420 29,710 14,855 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178

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