3² × 5² × 7 × 11 × 43

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 11 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,702,272

Proper Divisor Sum 957,297

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #744959 ← → #744977

1 3 5 7 9 11 15 21 25 33 35 43 45 55 63 75 77 99 105 129 165 175 215 225 231 275 301 315 385 387 473 495 525 645 693 825 903 1,075 1,155 1,419 1,505 1,575 1,925 1,935 2,365 2,475 2,709 3,225 3,311 3,465 4,257 4,515 5,775 7,095 7,525 9,675 9,933 11,825 13,545 16,555

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

744,975 2,234,926 1,117,463 3,352,390 1,676,195 5,028,586 2,514,293 7,542,880 3,771,440 1,885,720 942,860 471,430 235,715 707,146 353,573 1,060,720 530,360 265,180 132,590 66,295 198,886 99,443 298,330 149,165 447,496 223,748 111,874 55,937 167,812 83,906 41,953 125,860 62,930 31,465 94,396 47,198 23,599 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354

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