3³ × 31 × 499

Prime Factor Structure

Factorization String 3^3 × 31 × 499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 640,000

Proper Divisor Sum 222,337

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #417649 ← → #417671

1 3 9 27 31 93 279 499 837 1,497 4,491 13,473 15,469 46,407 139,221 417,663

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

417,663 1,252,990 626,495 1,879,486 939,743 2,819,230 1,409,615 4,228,846 2,114,423 6,343,270 3,171,635 9,514,906 4,757,453 14,272,360 7,136,180 3,568,090 1,784,045 5,352,136 2,676,068 1,338,034 669,017 2,007,052 1,003,526 501,763 1,505,290 752,645 2,257,936 1,128,968 564,484 282,242 141,121 423,364 211,682 105,841 317,524 158,762 79,381 238,144 119,072 59,536 29,768 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902

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