3⁶ × 5² × 23

Prime Factor Structure

Factorization String 3^6 × 5^2 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 813,192

Proper Divisor Sum 394,017

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #419171 ← → #419183

1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 243 345 405 575 621 675 729 1,035 1,215 1,725 1,863 2,025 3,105 3,645 5,175 5,589 6,075 9,315 15,525 16,767 18,225 27,945 46,575 83,835 139,725 419,175

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

419,175 1,257,526 628,763 1,886,290 943,145 2,829,436 1,414,718 707,359 2,122,078 1,061,039 3,183,118 1,591,559 4,774,678 2,387,339 7,162,018 3,581,009 10,743,028 5,371,514 2,685,757 8,057,272 4,028,636 2,014,318 1,007,159 3,021,478 1,510,739 4,532,218 2,266,109 6,798,328 3,399,164 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608 2,041,804 1,020,902 510,451 1,531,354 765,677 2,297,032 1,148,516 574,258

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