3⁴ × 5 × 7 × 67

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 394,944

Proper Divisor Sum 204,999

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #189929 ← → #189947

1 3 5 7 9 15 21 27 35 45 63 67 81 105 135 189 201 315 335 405 469 567 603 945 1,005 1,407 1,809 2,345 2,835 3,015 4,221 5,427 7,035 9,045 12,663 21,105 27,135 37,989 63,315 189,945

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

189,945 569,836 284,918 142,459 427,378 213,689 641,068 320,534 160,267 480,802 240,401 721,204 360,602 180,301 540,904 270,452 135,226 67,613 202,840 101,420 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235

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