2 × 3⁴ × 11 × 13 × 367

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 13 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 22,442,112

Proper Divisor Sum 13,940,190

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8501893 ← → #8501923

1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 367 429 594 702 734 858 891 1,053 1,101 1,287 1,782 2,106 2,202 2,574 3,303 3,861 4,037 4,771 6,606 7,722 8,074 9,542 9,909 11,583 12,111 14,313 19,818 23,166 24,222 28,626 29,727 36,333 42,939 52,481

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

8,501,922 4,250,961 12,752,884 6,376,442 3,188,221 9,564,664 4,782,332 2,391,166 1,195,583 3,586,750 1,793,375 5,380,126 2,690,063 8,070,190 4,035,095 12,105,286 6,052,643 18,157,930 9,078,965 27,236,896 13,618,448 6,809,224 3,404,612 1,702,306 851,153 2,553,460 1,276,730 638,365 1,915,096 957,548 478,774 239,387 718,162 359,081 1,077,244 538,622 269,311 807,934 403,967 1,211,902 605,951 1,817,854 908,927 2,726,782 1,363,391 4,090,174 2,045,087 6,135,262 3,067,631 9,202,894 4,601,447 13,804,342 6,902,171 20,706,514 10,353,257 31,059,772 15,529,886 7,764,943 23,294,830 11,647,415

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