3 × 5² × 7 × 17 × 47

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 17 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 857,088

Proper Divisor Sum 437,613

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #419473 ← → #419477

1 3 5 7 15 17 21 25 35 47 51 75 85 105 119 141 175 235 255 329 357 425 525 595 705 799 987 1,175 1,275 1,645 1,785 2,397 2,975 3,525 3,995 4,935 5,593 8,225 8,925 11,985 16,779 19,975 24,675 27,965 59,925 83,895 139,825 419,475

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

419,475 1,258,426 629,213 1,887,640 943,820 471,910 235,955 707,866 353,933 1,061,800 530,900 265,450 132,725 398,176 199,088 99,544 49,772 24,886 12,443 37,330 18,665 55,996 27,998 13,999 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967

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