3⁵ × 5² × 17 × 31

Prime Factor Structure

Factorization String 3^5 × 5^2 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,499,584

Proper Divisor Sum 3,298,059

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3201521 ← → #3201529

1 3 5 9 15 17 25 27 31 45 51 75 81 85 93 135 153 155 225 243 255 279 405 425 459 465 527 675 765 775 837 1,215 1,275 1,377 1,395 1,581 2,025 2,295 2,325 2,511 2,635 3,825 4,131 4,185 4,743 6,075 6,885 6,975 7,533 7,905 11,475 12,555 13,175 14,229 20,655 20,925 23,715 34,425 37,665 39,525

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

3,201,525 9,604,576 4,802,288 2,401,144 1,200,572 600,286 300,143 900,430 450,215 1,350,646 675,323 2,025,970 1,012,985 3,038,956 1,519,478 759,739 2,279,218 1,139,609 3,418,828 1,709,414 854,707 2,564,122 1,282,061 3,846,184 1,923,092 961,546 480,773 1,442,320 721,160 360,580 180,290 90,145 270,436 135,218 67,609 202,828 101,414 50,707 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308

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