2 × 3² × 13 × 31 × 59

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 31 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,048,320

Proper Divisor Sum 620,334

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #427969 ← → #427991

1 2 3 6 9 13 18 26 31 39 59 62 78 93 117 118 177 186 234 279 354 403 531 558 767 806 1,062 1,209 1,534 1,829 2,301 2,418 3,627 3,658 4,602 5,487 6,903 7,254 10,974 13,806 16,461 23,777 32,922 47,554 71,331 142,662 213,993 427,986

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

427,986 213,993 641,980 320,990 160,495 481,486 240,743 722,230 361,115 1,083,346 541,673 1,625,020 812,510 406,255 1,218,766 609,383 1,828,150 914,075 2,742,226 1,371,113 4,113,340 2,056,670 1,028,335 3,085,006 1,542,503 4,627,510 2,313,755 6,941,266 3,470,633 10,411,900 5,205,950 2,602,975 7,808,926 3,904,463 11,713,390 5,856,695 17,570,086 8,785,043 26,355,130 13,177,565 39,532,696 19,766,348 9,883,174 4,941,587 14,824,762 7,412,381 22,237,144 11,118,572 5,559,286 2,779,643 8,338,930 4,169,465 12,508,396 6,254,198 3,127,099 9,381,298 4,690,649 14,071,948 7,035,974 3,517,987

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