3³ × 7 × 11 × 13 × 17

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 967,680

Proper Divisor Sum 508,221

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #459443 ← → #459463

1 3 7 9 11 13 17 21 27 33 39 51 63 77 91 99 117 119 143 153 187 189 221 231 273 297 351 357 429 459 561 663 693 819 1,001 1,071 1,287 1,309 1,547 1,683 1,989 2,079 2,431 2,457 3,003 3,213 3,861 3,927 4,641 5,049 5,967 7,293 9,009 11,781 13,923 17,017 21,879 27,027 35,343 41,769

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

459,459 1,378,378 689,189 2,067,568 1,033,784 516,892 258,446 129,223 387,670 193,835 581,506 290,753 872,260 436,130 218,065 654,196 327,098 163,549 490,648 245,324 122,662 61,331 183,994 91,997 275,992 137,996 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489

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