3⁴ × 5 × 11 × 17

Prime Factor Structure

Factorization String 3^4 × 5 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 156,816

Proper Divisor Sum 81,081

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #75731 ← → #75743

1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 297 405 459 495 561 765 891 935 1,377 1,485 1,683 2,295 2,805 4,455 5,049 6,885 8,415 15,147 25,245 75,735

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

75,735 227,206 113,603 340,810 170,405 511,216 255,608 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884

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