3² × 5³ × 7

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,224

Proper Divisor Sum 8,349

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7873 ← → #7877

1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1,125 1,575 2,625 7,875

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

7,875 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790

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