2 × 3³ × 7 × 31 × 41

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 31 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,290,240

Proper Divisor Sum 809,802

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #480427 ← → #480449

1 2 3 6 7 9 14 18 21 27 31 41 42 54 62 63 82 93 123 126 186 189 217 246 279 287 369 378 434 558 574 651 738 837 861 1,107 1,271 1,302 1,674 1,722 1,953 2,214 2,542 2,583 3,813 3,906 5,166 5,859 7,626 7,749 8,897 11,439 11,718 15,498 17,794 22,878 26,691 34,317 53,382 68,634

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

480,438 240,219 720,658 360,329 1,080,988 540,494 270,247 810,742 405,371 1,216,114 608,057 1,824,172 912,086 456,043 1,368,130 684,065 2,052,196 1,026,098 513,049 1,539,148 769,574 384,787 1,154,362 577,181 1,731,544 865,772 432,886 216,443 649,330 324,665 973,996 486,998 243,499 730,498 365,249 1,095,748 547,874 273,937 821,812 410,906 205,453 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286

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