3² × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 104,832

Proper Divisor Sum 59,787

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #45013 ← → #45053

1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1,001 1,155 1,287 1,365 2,145 3,003 3,465 4,095 5,005 6,435 9,009 15,015 45,045

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

45,045 135,136 67,568 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286

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