2³ × 3 × 5² × 353

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 658,440

Proper Divisor Sum 446,640

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #211789 ← → #211801

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 353 600 706 1,059 1,412 1,765 2,118 2,824 3,530 4,236 5,295 7,060 8,472 8,825 10,590 14,120 17,650 21,180 26,475 35,300 42,360 52,950 70,600 105,900 211,800

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

211,800 105,900 52,950 26,475 79,426 39,713 119,140 59,570 29,785 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

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