3² × 5² × 11²

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11^2

Distinct Prime Factors 3

Square Status Yes (√27225 = 165)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 53,599

Proper Divisor Sum 26,374

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27211 ← → #27239

1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1,089 1,815 2,475 3,025 5,445 9,075 27,225

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

27,225 81,676 40,838 20,419 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173

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