3⁴ × 5² × 13 × 19

Prime Factor Structure

Factorization String 3^4 × 5^2 × 13 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,050,280

Proper Divisor Sum 550,105

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #500173 ← → #500177

1 3 5 9 13 15 19 25 27 39 45 57 65 75 81 95 117 135 171 195 225 247 285 325 351 405 475 513 585 675 741 855 975 1,053 1,235 1,425 1,539 1,755 2,025 2,223 2,565 2,925 3,705 4,275 5,265 6,175 6,669 7,695 8,775 11,115 12,825 18,525 20,007 26,325 33,345 38,475 55,575 100,035 166,725 500,175

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

500,175 1,500,526 750,263 2,250,790 1,125,395 3,376,186 1,688,093 5,064,280 2,532,140 1,266,070 633,035 1,899,106 949,553 2,848,660 1,424,330 712,165 2,136,496 1,068,248 534,124 267,062 133,531 400,594 200,297 600,892 300,446 150,223 450,670 225,335 676,006 338,003 1,014,010 507,005 1,521,016 760,508 380,254 190,127 570,382 285,191 855,574 427,787 1,283,362 641,681 1,925,044 962,522 481,261 1,443,784 721,892 360,946 180,473 541,420 270,710 135,355 406,066 203,033 609,100 304,550 152,275 456,826 228,413 685,240

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