2³ × 3³ × 19 × 101

Prime Factor Structure

Factorization String 2^3 × 3^3 × 19 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,224,000

Proper Divisor Sum 809,496

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #414503 ← → #414521

1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 101 108 114 152 171 202 216 228 303 342 404 456 513 606 684 808 909 1,026 1,212 1,368 1,818 1,919 2,052 2,424 2,727 3,636 3,838 4,104 5,454 5,757 7,272 7,676 10,908 11,514 15,352 17,271 21,816 23,028 34,542 46,056 51,813 69,084

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

414,504 207,252 103,626 51,813 155,440 77,720 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

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