2³ × 3⁴ × 5 × 4003

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 4003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 43,603,560

Proper Divisor Sum 30,633,840

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #12969709 ← → #12969731

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1,080 1,620 3,240 4,003 8,006 12,009 16,012 20,015 24,018 32,024 36,027 40,030 48,036 60,045 72,054 80,060 96,072 108,081 120,090 144,108 160,120 180,135 216,162

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

12,969,720 6,484,860 3,242,430 1,621,215 4,863,646 2,431,823 7,295,470 3,647,735 10,943,206 5,471,603 16,414,810 8,207,405 24,622,216 12,311,108 6,155,554 3,077,777 9,233,332 4,616,666 2,308,333 6,925,000 3,462,500 1,731,250 865,625 2,596,876 1,298,438 649,219 1,947,658 973,829 2,921,488 1,460,744 730,372 365,186 182,593 547,780 273,890 136,945 410,836 205,418 102,709 308,128 154,064 77,032 38,516 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715

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