3² × 5 × 11 × 17 × 43 × 199

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 17 × 43 × 199

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 148,262,400

Proper Divisor Sum 76,255,245

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72007153 ← → #72007213

1 3 5 9 11 15 17 33 43 45 51 55 85 99 129 153 165 187 199 215 255 387 473 495 561 597 645 731 765 935 995 1,419 1,683 1,791 1,935 2,189 2,193 2,365 2,805 2,985 3,383 3,655 4,257 6,567 6,579 7,095 8,041 8,415 8,557 8,955 10,149 10,945 10,965 16,915 19,701 21,285 24,123 25,671 30,447 32,835

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

72,007,155 216,021,466 108,010,733 324,032,200 162,016,100 81,008,050 40,504,025 121,512,076 60,756,038 30,378,019 91,134,058 45,567,029 136,701,088 68,350,544 34,175,272 17,087,636 8,543,818 4,271,909 12,815,728 6,407,864 3,203,932 1,601,966 800,983 2,402,950 1,201,475 3,604,426 1,802,213 5,406,640 2,703,320 1,351,660 675,830 337,915 1,013,746 506,873 1,520,620 760,310 380,155 1,140,466 570,233 1,710,700 855,350 427,675 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220

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