3 × 5² × 7 × 13 × 43 × 101

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 43 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 62,329,344

Proper Divisor Sum 32,688,369

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #29640971 ← → #29640983

1 3 5 7 13 15 21 25 35 39 43 65 75 91 101 105 129 175 195 215 273 301 303 325 455 505 525 559 645 707 903 975 1,075 1,313 1,365 1,505 1,515 1,677 2,121 2,275 2,525 2,795 3,225 3,535 3,913 3,939 4,343 4,515 6,565 6,825 7,525 7,575 8,385 9,191 10,605 11,739 13,029 13,975 17,675 19,565

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

29,640,975 88,922,926 44,461,463 133,384,390 66,692,195 200,076,586 100,038,293 300,114,880 150,057,440 75,028,720 37,514,360 18,757,180 9,378,590 4,689,295 14,067,886 7,033,943 21,101,830 10,550,915 31,652,746 15,826,373 47,479,120 23,739,560 11,869,780 5,934,890 2,967,445 8,902,336 4,451,168 2,225,584 1,112,792 556,396 278,198 139,099 417,298 208,649 625,948 312,974 156,487 469,462 234,731 704,194 352,097 1,056,292 528,146 264,073 792,220 396,110 198,055 594,166 297,083 891,250 445,625 1,336,876 668,438 334,219 1,002,658 501,329 1,503,988 751,994 375,997 1,127,992

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