3⁵ × 5 × 7 × 13 × 89

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 13 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 22,014,720

Proper Divisor Sum 12,174,435

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9840283 ← → #9840293

1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 89 91 105 117 135 189 195 243 267 273 315 351 405 445 455 567 585 623 801 819 945 1,053 1,157 1,215 1,335 1,365 1,701 1,755 1,869 2,403 2,457 2,835 3,115 3,159 3,471 4,005 4,095 5,265 5,607 5,785 7,209 7,371 8,099 8,505 9,345

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

9,840,285 29,520,856 14,760,428 7,380,214 3,690,107 11,070,322 5,535,161 16,605,484 8,302,742 4,151,371 12,454,114 6,227,057 18,681,172 9,340,586 4,670,293 14,010,880 7,005,440 3,502,720 1,751,360 875,680 437,840 218,920 109,460 54,730 27,365 82,096 41,048 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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