2 × 3 × 7² × 37 × 41

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 37 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,091,664

Proper Divisor Sum 645,666

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #445969 ← → #446003

1 2 3 6 7 14 21 37 41 42 49 74 82 98 111 123 147 222 246 259 287 294 518 574 777 861 1,517 1,554 1,722 1,813 2,009 3,034 3,626 4,018 4,551 5,439 6,027 9,102 10,619 10,878 12,054 21,238 31,857 63,714 74,333 148,666 222,999 445,998

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

445,998 222,999 668,998 334,499 1,003,498 501,749 1,505,248 752,624 376,312 188,156 94,078 47,039 141,118 70,559 211,678 105,839 317,518 158,759 476,278 238,139 714,418 357,209 1,071,628 535,814 267,907 803,722 401,861 1,205,584 602,792 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80

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