2 × 3² × 5² × 13 × 127

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 13 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,166,528

Proper Divisor Sum 1,423,578

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #742949 ← → #742967

1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 127 130 150 195 225 234 254 325 381 390 450 585 635 650 762 975 1,143 1,170 1,270 1,651 1,905 1,950 2,286 2,925 3,175 3,302 3,810 4,953 5,715 5,850 6,350 8,255 9,525 9,906 11,430 14,859 16,510 19,050 24,765

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

742,950 371,475 1,114,426 557,213 1,671,640 835,820 417,910 208,955 626,866 313,433 940,300 470,150 235,075 705,226 352,613 1,057,840 528,920 264,460 132,230 66,115 198,346 99,173 297,520 148,760 74,380 37,190 18,595 55,786 27,893 83,680 41,840 20,920 10,460 5,230 2,615 7,846 3,923 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295

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