3 × 7² × 11 × 17

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 49,248

Proper Divisor Sum 21,759

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #27487 ← → #27509

1 3 7 11 17 21 33 49 51 77 119 147 187 231 357 539 561 833 1,309 1,617 2,499 3,927 9,163 27,489

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

27,489 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175

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