2² × 3² × 11 × 13 × 89

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,375,920

Proper Divisor Sum 917,748

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #458123 ← → #458173

1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 89 99 117 132 143 156 178 198 234 267 286 356 396 429 468 534 572 801 858 979 1,068 1,157 1,287 1,602 1,716 1,958 2,314 2,574 2,937 3,204 3,471 3,916 4,628 5,148 5,874 6,942 8,811 10,413 11,748 12,727 13,884

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

458,172 229,086 114,543 343,630 171,815 515,446 257,723 773,170 386,585 1,159,756 579,878 289,939 869,818 434,909 1,304,728 652,364 326,182 163,091 489,274 244,637 733,912 366,956 183,478 91,739 275,218 137,609 412,828 206,414 103,207 309,622 154,811 464,434 232,217 696,652 348,326 174,163 522,490 261,245 783,736 391,868 195,934 97,967 293,902 146,951 440,854 220,427 661,282 330,641 991,924 495,962 247,981 743,944 371,972 185,986 92,993 278,980 139,490 69,745 209,236 104,618

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