3 × 5 × 7 × 11² × 17 × 131

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 17 × 131

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 60,673,536

Proper Divisor Sum 32,379,501

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #28294031 ← → #28294037

1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 121 131 165 187 231 255 357 363 385 393 561 595 605 655 847 917 935 1,155 1,309 1,441 1,785 1,815 1,965 2,057 2,227 2,541 2,751 2,805 3,927 4,235 4,323 4,585 6,171 6,545 6,681 7,205 10,087 10,285 11,135 12,705 13,755 14,399 15,589 15,851

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

28,294,035 84,882,106 42,441,053 127,323,160 63,661,580 31,830,790 15,915,395 47,746,186 23,873,093 71,619,280 35,809,640 17,904,820 8,952,410 4,476,205 13,428,616 6,714,308 3,357,154 1,678,577 5,035,732 2,517,866 1,258,933 3,776,800 1,888,400 944,200 472,100 236,050 118,025 354,076 177,038 88,519 265,558 132,779 398,338 199,169 597,508 298,754 149,377 448,132 224,066 112,033 336,100 168,050 84,025 252,076 126,038 63,019 189,058 94,529 283,588 141,794 70,897 212,692 106,346 53,173 159,520 79,760 39,880 19,940 9,970 4,985

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