3 × 5⁵ × 7²

Prime Factor Structure

Factorization String 3 × 5^5 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 890,568

Proper Divisor Sum 431,193

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #459373 ← → #459377

1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 375 525 625 735 875 1,225 1,875 2,625 3,125 3,675 4,375 6,125 9,375 13,125 18,375 21,875 30,625 65,625 91,875 153,125 459,375

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

459,375 1,378,126 689,063 2,067,190 1,033,595 3,100,786 1,550,393 4,651,180 2,325,590 1,162,795 3,488,386 1,744,193 5,232,580 2,616,290 1,308,145 3,924,436 1,962,218 981,109 2,943,328 1,471,664 735,832 367,916 183,958 91,979 275,938 137,969 413,908 206,954 103,477 310,432 155,216 77,608 38,804 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974

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