3 × 5 × 7 × 11 × 13 × 31 × 41

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 13 × 31 × 41

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 43,352,064

Proper Divisor Sum 24,267,999

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #19084063 ← → #19084099

1 3 5 7 11 13 15 21 31 33 35 39 41 55 65 77 91 93 105 123 143 155 165 195 205 217 231 273 287 341 385 403 429 451 455 465 533 615 651 715 861 1,001 1,023 1,085 1,155 1,209 1,271 1,353 1,365 1,435 1,599 1,705 2,015 2,145 2,255 2,387 2,665 2,821 3,003 3,157

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

19,084,065 57,252,196 28,626,098 14,313,049 42,939,148 21,469,574 10,734,787 32,204,362 16,102,181 48,306,544 24,153,272 12,076,636 6,038,318 3,019,159 9,057,478 4,528,739 13,586,218 6,793,109 20,379,328 10,189,664 5,094,832 2,547,416 1,273,708 636,854 318,427 955,282 477,641 1,432,924 716,462 358,231 1,074,694 537,347 1,612,042 806,021 2,418,064 1,209,032 604,516 302,258 151,129 453,388 226,694 113,347 340,042 170,021 510,064 255,032 127,516 63,758 31,879 95,638 47,819 143,458 71,729 215,188 107,594 53,797 161,392 80,696 40,348 20,174

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