3⁵ × 5³ × 11 × 29

Prime Factor Structure

Factorization String 3^5 × 5^3 × 11 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,442,240

Proper Divisor Sum 10,752,615

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9689623 ← → #9689633

1 3 5 9 11 15 25 27 29 33 45 55 75 81 87 99 125 135 145 165 225 243 261 275 297 319 375 405 435 495 675 725 783 825 891 957 1,125 1,215 1,305 1,375 1,485 1,595 2,025 2,175 2,349 2,475 2,673 2,871 3,375 3,625 3,915 4,125 4,455 4,785 6,075 6,525 7,047 7,425 7,975 8,613

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

9,689,625 29,068,876 14,534,438 7,267,219 21,801,658 10,900,829 32,702,488 16,351,244 8,175,622 4,087,811 12,263,434 6,131,717 18,395,152 9,197,576 4,598,788 2,299,394 1,149,697 3,449,092 1,724,546 862,273 2,586,820 1,293,410 646,705 1,940,116 970,058 485,029 1,455,088 727,544 363,772 181,886 90,943 272,830 136,415 409,246 204,623 613,870 306,935 920,806 460,403 1,381,210 690,605 2,071,816 1,035,908 517,954 258,977 776,932 388,466 194,233 582,700 291,350 145,675 437,026 218,513 655,540 327,770 163,885 491,656 245,828 122,914 61,457

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