3⁵ × 5 × 7² × 47

Prime Factor Structure

Factorization String 3^5 × 5 × 7^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,975,424

Proper Divisor Sum 3,177,279

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2798143 ← → #2798161

1 3 5 7 9 15 21 27 35 45 47 49 63 81 105 135 141 147 189 235 243 245 315 329 405 423 441 567 705 735 945 987 1,215 1,269 1,323 1,645 1,701 2,115 2,205 2,303 2,835 2,961 3,807 3,969 4,935 6,345 6,615 6,909 8,505 8,883 11,421 11,515 11,907 14,805 19,035 19,845 20,727 26,649 34,545 44,415

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

2,798,145 8,394,436 4,197,218 2,098,609 6,295,828 3,147,914 1,573,957 4,721,872 2,360,936 1,180,468 590,234 295,117 885,352 442,676 221,338 110,669 332,008 166,004 83,002 41,501 124,504 62,252 31,126 15,563 46,690 23,345 70,036 35,018 17,509 52,528 26,264 13,132 6,566 3,283 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494

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