2 × 3⁴ × 11 × 19 × 23

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 19 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 2,090,880

Proper Divisor Sum 1,312,146

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #778733 ← → #778759

1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 81 99 114 138 162 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 891 1,026 1,242 1,254 1,311 1,518 1,539 1,782 1,863 1,881 2,277 2,622 3,078 3,726 3,762 3,933 4,554 4,807 5,643 6,831

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

778,734 389,367 1,168,102 584,051 1,752,154 876,077 2,628,232 1,314,116 657,058 328,529 985,588 492,794 246,397 739,192 369,596 184,798 92,399 277,198 138,599 415,798 207,899 623,698 311,849 935,548 467,774 233,887 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196 1,998,098 999,049 2,997,148 1,498,574 749,287 2,247,862 1,123,931 3,371,794 1,685,897 5,057,692 2,528,846 1,264,423 3,793,270 1,896,635 5,689,906 2,844,953 8,534,860 4,267,430 2,133,715 6,401,146

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