2² × 3 × 7² × 19 × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 19 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,340,640

Proper Divisor Sum 882,588

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #458047 ← → #458053

1 2 3 4 6 7 12 14 19 21 28 38 41 42 49 57 76 82 84 98 114 123 133 147 164 196 228 246 266 287 294 399 492 532 574 588 779 798 861 931 1,148 1,558 1,596 1,722 1,862 2,009 2,337 2,793 3,116 3,444 3,724 4,018 4,674 5,453 5,586 6,027 8,036 9,348 10,906 11,172

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

458,052 229,026 114,513 343,540 171,770 85,885 257,656 128,828 64,414 32,207 96,622 48,311 144,934 72,467 217,402 108,701 326,104 163,052 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915

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