2² × 3 × 7² × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 28,728

Proper Divisor Sum 18,732

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9973 ← → #10007

1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1,428 1,666 2,499 3,332 4,998 9,996

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

9,996 4,998 2,499 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287

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