3³ × 13² × 83

Prime Factor Structure

Factorization String 3^3 × 13^2 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 614,880

Proper Divisor Sum 236,151

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #378713 ← → #378733

1 3 9 13 27 39 83 117 169 249 351 507 747 1,079 1,521 2,241 3,237 4,563 9,711 14,027 29,133 42,081 126,243 378,729

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

378,729 1,136,188 568,094 284,047 852,142 426,071 1,278,214 639,107 1,917,322 958,661 2,875,984 1,437,992 718,996 359,498 179,749 539,248 269,624 134,812 67,406 33,703 101,110 50,555 151,666 75,833 227,500 113,750 56,875 170,626 85,313 255,940 127,970 63,985 191,956 95,978 47,989 143,968 71,984 35,992 17,996 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67

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