3 × 5³ × 7 × 11 × 17

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,078,272

Proper Divisor Sum 587,397

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #490859 ← → #490877

1 3 5 7 11 15 17 21 25 33 35 51 55 75 77 85 105 119 125 165 175 187 231 255 275 357 375 385 425 525 561 595 825 875 935 1,155 1,275 1,309 1,375 1,785 1,925 2,125 2,625 2,805 2,975 3,927 4,125 4,675 5,775 6,375 6,545 8,925 9,625 14,025 14,875 19,635 23,375 28,875 32,725 44,625

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

490,875 1,472,626 736,313 2,208,940 1,104,470 552,235 1,656,706 828,353 2,485,060 1,242,530 621,265 1,863,796 931,898 465,949 1,397,848 698,924 349,462 174,731 524,194 262,097 786,292 393,146 196,573 589,720 294,860 147,430 73,715 221,146 110,573 331,720 165,860 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683

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