3 × 5 × 11² × 13 × 17

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 804,384

Proper Divisor Sum 403,269

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #401113 ← → #401119

1 3 5 11 13 15 17 33 39 51 55 65 85 121 143 165 187 195 221 255 363 429 561 605 663 715 935 1,105 1,573 1,815 2,057 2,145 2,431 2,805 3,315 4,719 6,171 7,293 7,865 10,285 12,155 23,595 26,741 30,855 36,465 80,223 133,705 401,115

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

401,115 1,203,346 601,673 1,805,020 902,510 451,255 1,353,766 676,883 2,030,650 1,015,325 3,045,976 1,522,988 761,494 380,747 1,142,242 571,121 1,713,364 856,682 428,341 1,285,024 642,512 321,256 160,628 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280

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