3 × 5 × 7² × 13 × 19²

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 7,296,912

Proper Divisor Sum 3,847,557

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3449353 ← → #3449363

1 3 5 7 13 15 19 21 35 39 49 57 65 91 95 105 133 147 195 245 247 273 285 361 399 455 637 665 735 741 931 1,083 1,235 1,365 1,729 1,805 1,911 1,995 2,527 2,793 3,185 3,705 4,655 4,693 5,187 5,415 7,581 8,645 9,555 12,103 12,635 13,965 14,079 17,689 23,465 25,935 32,851 36,309 37,905 53,067

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

3,449,355 10,348,066 5,174,033 15,522,100 7,761,050 3,880,525 11,641,576 5,820,788 2,910,394 1,455,197 4,365,592 2,182,796 1,091,398 545,699 1,637,098 818,549 2,455,648 1,227,824 613,912 306,956 153,478 76,739 230,218 115,109 345,328 172,664 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652

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