3⁶ × 13²

Prime Factor Structure

Factorization String 3^6 × 13^2

Distinct Prime Factors 2

Square Status Yes (√123201 = 351)

Abundance Measure Deficient

Analytical Properties

Total Divisors 21

Divisor Sum (σ) 200,019

Proper Divisor Sum 76,818

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #123191 ← → #123203

1 3 9 13 27 39 81 117 169 243 351 507 729 1,053 1,521 3,159 4,563 9,477 13,689 41,067 123,201

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

123,201 369,604 184,802 92,401 277,204 138,602 69,301 207,904 103,952 51,976 25,988 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790

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