3 × 5 × 7² × 11 × 37

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 623,808

Proper Divisor Sum 324,663

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #299137 ← → #299147

1 3 5 7 11 15 21 33 35 37 49 55 77 105 111 147 165 185 231 245 259 385 407 539 555 735 777 1,155 1,221 1,295 1,617 1,813 2,035 2,695 2,849 3,885 5,439 6,105 8,085 8,547 9,065 14,245 19,943 27,195 42,735 59,829 99,715 299,145

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

299,145 897,436 448,718 224,359 673,078 336,539 1,009,618 504,809 1,514,428 757,214 378,607 1,135,822 567,911 1,703,734 851,867 2,555,602 1,277,801 3,833,404 1,916,702 958,351 2,875,054 1,437,527 4,312,582 2,156,291 6,468,874 3,234,437 9,703,312 4,851,656 2,425,828 1,212,914 606,457 1,819,372 909,686 454,843 1,364,530 682,265 2,046,796 1,023,398 511,699 1,535,098 767,549 2,302,648 1,151,324 575,662 287,831 863,494 431,747 1,295,242 647,621 1,942,864 971,432 485,716 242,858 121,429 364,288 182,144 91,072 45,536 22,768 11,384

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