3 × 5² × 7² × 11²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 940,044

Proper Divisor Sum 495,369

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #444671 ← → #444677

1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 147 165 175 231 245 275 363 385 525 539 605 735 825 847 1,155 1,225 1,617 1,815 1,925 2,541 2,695 3,025 3,675 4,235 5,775 5,929 8,085 9,075 12,705 13,475 17,787 21,175 29,645 40,425 63,525 88,935 148,225 444,675

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

444,675 1,334,026 667,013 2,001,040 1,000,520 500,260 250,130 125,065 375,196 187,598 93,799 281,398 140,699 422,098 211,049 633,148 316,574 158,287 474,862 237,431 712,294 356,147 1,068,442 534,221 1,602,664 801,332 400,666 200,333 601,000 300,500 150,250 75,125 225,376 112,688 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825

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