2⁷ × 5² × 7 × 1993

Prime Factor Structure

Factorization String 2^7 × 5^2 × 7 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 126,100,560

Proper Divisor Sum 81,457,360

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #44643197 ← → #44643229

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1,120 1,400 1,600 1,993 2,240 2,800 3,200 3,986 4,480 5,600 7,972 9,965 11,200 13,951 15,944 19,930 22,400 27,902 31,888 39,860 49,825 55,804

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

44,643,200 22,321,600 11,160,800 5,580,400 2,790,200 1,395,100 697,550 348,775 1,046,326 523,163 1,569,490 784,745 2,354,236 1,177,118 588,559 1,765,678 882,839 2,648,518 1,324,259 3,972,778 1,986,389 5,959,168 2,979,584 1,489,792 744,896 372,448 186,224 93,112 46,556 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220

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