2 × 3 × 5² × 7² × 41

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 890,568

Proper Divisor Sum 589,218

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #301349 ← → #301361

1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 49 50 70 75 82 98 105 123 147 150 175 205 210 245 246 287 294 350 410 490 525 574 615 735 861 1,025 1,050 1,225 1,230 1,435 1,470 1,722 2,009 2,050 2,450 2,870 3,075 3,675 4,018 4,305 6,027 6,150 7,175 7,350 8,610

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

301,350 150,675 452,026 226,013 678,040 339,020 169,510 84,755 254,266 127,133 381,400 190,700 95,350 47,675 143,026 71,513 214,540 107,270 53,635 160,906 80,453 241,360 120,680 60,340 30,170 15,085 45,256 22,628 11,314 5,657 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482

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