2 × 3² × 5² × 11 × 89

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 11 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,305,720

Proper Divisor Sum 865,170

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #440549 ← → #440551

1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 89 90 99 110 150 165 178 198 225 267 275 330 445 450 495 534 550 801 825 890 979 990 1,335 1,602 1,650 1,958 2,225 2,475 2,670 2,937 4,005 4,450 4,895 4,950 5,874 6,675 8,010 8,811 9,790 13,350 14,685

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

440,550 220,275 660,826 330,413 991,240 495,620 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808 29,404 14,702 7,351 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798

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