2 × 5² × 7 × 11 × 13³

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 11 × 13^3

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,248,640

Proper Divisor Sum 12,790,190

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8458441 ← → #8458493

1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 130 143 154 169 175 182 275 286 325 338 350 385 455 550 650 715 770 845 910 1,001 1,183 1,430 1,690 1,859 1,925 2,002 2,197 2,275 2,366 3,575 3,718 3,850 4,225 4,394 4,550 5,005 5,915 7,150 8,450 9,295 10,010

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

8,458,450 4,229,225 12,687,676 6,343,838 3,171,919 9,515,758 4,757,879 14,273,638 7,136,819 21,410,458 10,705,229 32,115,688 16,057,844 8,028,922 4,014,461 12,043,384 6,021,692 3,010,846 1,505,423 4,516,270 2,258,135 6,774,406 3,387,203 10,161,610 5,080,805 15,242,416 7,621,208 3,810,604 1,905,302 952,651 2,857,954 1,428,977 4,286,932 2,143,466 1,071,733 3,215,200 1,607,600 803,800 401,900 200,950 100,475 301,426 150,713 452,140 226,070 113,035 339,106 169,553 508,660 254,330 127,165 381,496 190,748 95,374 47,687 143,062 71,531 214,594 107,297 321,892

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