3⁵ × 5 × 337

Prime Factor Structure

Factorization String 3^5 × 5 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 738,192

Proper Divisor Sum 328,737

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #409441 ← → #409463

1 3 5 9 15 27 45 81 135 243 337 405 1,011 1,215 1,685 3,033 5,055 9,099 15,165 27,297 45,495 81,891 136,485 409,455

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

409,455 1,228,366 614,183 1,842,550 921,275 2,763,826 1,381,913 4,145,740 2,072,870 1,036,435 3,109,306 1,554,653 4,663,960 2,331,980 1,165,990 582,995 1,748,986 874,493 2,623,480 1,311,740 655,870 327,935 983,806 491,903 1,475,710 737,855 2,213,566 1,106,783 3,320,350 1,660,175 4,980,526 2,490,263 7,470,790 3,735,395 11,206,186 5,603,093 16,809,280 8,404,640 4,202,320 2,101,160 1,050,580 525,290 262,645 787,936 393,968 196,984 98,492 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494

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