3⁵ × 5² × 7 × 11

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,083,264

Proper Divisor Sum 615,489

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #467773 ← → #467783

1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 243 275 297 315 385 405 495 525 567 675 693 825 891 945 1,155 1,215 1,485 1,575 1,701 1,925 2,025 2,079 2,475 2,673 2,835 3,465 4,455 4,725 5,775 6,075 6,237 7,425 8,505 10,395

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

467,775 1,403,326 701,663 2,104,990 1,052,495 3,157,486 1,578,743 4,736,230 2,368,115 7,104,346 3,552,173 10,656,520 5,328,260 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 3,200,573 9,601,720 4,800,860 2,400,430 1,200,215 3,600,646 1,800,323 5,400,970 2,700,485 8,101,456 4,050,728 2,025,364 1,012,682 506,341 1,519,024 759,512 379,756 189,878 94,939 284,818 142,409 427,228 213,614 106,807

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