3 × 5 × 7² × 599

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 820,800

Proper Divisor Sum 380,535

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #440261 ← → #440269

1 3 5 7 15 21 35 49 105 147 245 599 735 1,797 2,995 4,193 8,985 12,579 20,965 29,351 62,895 88,053 146,755 440,265

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

440,265 1,320,796 660,398 330,199 990,598 495,299 1,485,898 742,949 2,228,848 1,114,424 557,212 278,606 139,303 417,910 208,955 626,866 313,433 940,300 470,150 235,075 705,226 352,613 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

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