2 × 3⁴ × 7 × 11² × 373

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 11^2 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 144,450,768

Proper Divisor Sum 93,269,946

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #51180817 ← → #51180823

1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 373 378 462 567 594 693 726 746 847 891 1,089 1,119 1,134 1,386 1,694 1,782 2,079 2,178 2,238 2,541 2,611 3,267 3,357 4,103 4,158 5,082 5,222 6,237 6,534 6,714

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

51,180,822 25,590,411 76,771,234 38,385,617 115,156,852 57,578,426 28,789,213 86,367,640 43,183,820 21,591,910 10,795,955 32,387,866 16,193,933 48,581,800 24,290,900 12,145,450 6,072,725 18,218,176 9,109,088 4,554,544 2,277,272 1,138,636 569,318 284,659 853,978 426,989 1,280,968 640,484 320,242 160,121 480,364 240,182 120,091 360,274 180,137 540,412 270,206 135,103 405,310 202,655 607,966 303,983 911,950 455,975 1,367,926 683,963 2,051,890 1,025,945 3,077,836 1,538,918 769,459 2,308,378 1,154,189 3,462,568 1,731,284 865,642 432,821 1,298,464 649,232 324,616

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