3⁷ × 5 × 7

Prime Factor Structure

Factorization String 3^7 × 5 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 157,440

Proper Divisor Sum 80,895

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #76543 ← → #76561

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1,215 1,701 2,187 2,835 3,645 5,103 8,505 10,935 15,309 25,515 76,545

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

76,545 229,636 114,818 57,409 172,228 86,114 43,057 129,172 64,586 32,293 96,880 48,440 24,220 12,110 6,055 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495

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