3 × 5 × 7² × 11² × 47

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,733,312

Proper Divisor Sum 4,553,367

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4179941 ← → #4179949

1 3 5 7 11 15 21 33 35 47 49 55 77 105 121 141 147 165 231 235 245 329 363 385 517 539 605 705 735 847 987 1,155 1,551 1,617 1,645 1,815 2,303 2,541 2,585 2,695 3,619 4,235 4,935 5,687 5,929 6,909 7,755 8,085 10,857 11,515 12,705 17,061 17,787 18,095 25,333 28,435 29,645 34,545 39,809 54,285

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

4,179,945 12,539,836 6,269,918 3,134,959 9,404,878 4,702,439 14,107,318 7,053,659 21,160,978 10,580,489 31,741,468 15,870,734 7,935,367 23,806,102 11,903,051 35,709,154 17,854,577 53,563,732 26,781,866 13,390,933 40,172,800 20,086,400 10,043,200 5,021,600 2,510,800 1,255,400 627,700 313,850 156,925 470,776 235,388 117,694 58,847 176,542 88,271 264,814 132,407 397,222 198,611 595,834 297,917 893,752 446,876 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422

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