3³ × 5 × 7 × 11² × 29

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11^2 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,660,800

Proper Divisor Sum 4,344,795

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3315989 ← → #3316007

1 3 5 7 9 11 15 21 27 29 33 35 45 55 63 77 87 99 105 121 135 145 165 189 203 231 261 297 315 319 363 385 435 495 605 609 693 783 847 945 957 1,015 1,089 1,155 1,305 1,485 1,595 1,815 1,827 2,079 2,233 2,541 2,871 3,045 3,267 3,465 3,509 3,915 4,235 4,785

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

3,316,005 9,948,016 4,974,008 2,487,004 1,243,502 621,751 1,865,254 932,627 2,797,882 1,398,941 4,196,824 2,098,412 1,049,206 524,603 1,573,810 786,905 2,360,716 1,180,358 590,179 1,770,538 885,269 2,655,808 1,327,904 663,952 331,976 165,988 82,994 41,497 124,492 62,246 31,123 93,370 46,685 140,056 70,028 35,014 17,507 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509

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