2 × 3 × 11 × 13 × 53

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 108,864

Proper Divisor Sum 63,390

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #45439 ← → #45481

1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1,166 1,378 1,749 2,067 3,498 4,134 7,579 15,158 22,737 45,474

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

45,474 22,737 68,212 34,106 17,053 51,160 25,580 12,790 6,395 19,186 9,593 28,780 14,390 7,195 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329

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