3² × 5 × 11 × 17 × 53

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 17 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 909,792

Proper Divisor Sum 463,797

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #445969 ← → #446003

1 3 5 9 11 15 17 33 45 51 53 55 85 99 153 159 165 187 255 265 477 495 561 583 765 795 901 935 1,683 1,749 2,385 2,703 2,805 2,915 4,505 5,247 8,109 8,415 8,745 9,911 13,515 26,235 29,733 40,545 49,555 89,199 148,665 445,995

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

445,995 1,337,986 668,993 2,006,980 1,003,490 501,745 1,505,236 752,618 376,309 1,128,928 564,464 282,232 141,116 70,558 35,279 105,838 52,919 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830

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