2² × 3 × 7² × 17 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,206,576

Proper Divisor Sum 796,740

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #409831 ← → #409841

1 2 3 4 6 7 12 14 17 21 28 34 41 42 49 51 68 82 84 98 102 119 123 147 164 196 204 238 246 287 294 357 476 492 574 588 697 714 833 861 1,148 1,394 1,428 1,666 1,722 2,009 2,091 2,499 2,788 3,332 3,444 4,018 4,182 4,879 4,998 6,027 8,036 8,364 9,758 9,996

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

409,836 204,918 102,459 307,378 153,689 461,068 230,534 115,267 345,802 172,901 518,704 259,352 129,676 64,838 32,419 97,258 48,629 145,888 72,944 36,472 18,236 9,118 4,559 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

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