3⁴ × 5 × 7 × 11 × 17

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,254,528

Proper Divisor Sum 724,383

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #530143 ← → #530177

1 3 5 7 9 11 15 17 21 27 33 35 45 51 55 63 77 81 85 99 105 119 135 153 165 187 189 231 255 297 315 357 385 405 459 495 561 567 595 693 765 891 935 945 1,071 1,155 1,309 1,377 1,485 1,683 1,785 2,079 2,295 2,805 2,835 3,213 3,465 3,927 4,455 5,049

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

530,145 1,590,436 795,218 397,609 1,192,828 596,414 298,207 894,622 447,311 1,341,934 670,967 2,012,902 1,006,451 3,019,354 1,509,677 4,529,032 2,264,516 1,132,258 566,129 1,698,388 849,194 424,597 1,273,792 636,896 318,448 159,224 79,612 39,806 19,903 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326

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