2 × 3² × 5 × 7 × 53 × 293

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 53 × 293

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 29,719,872

Proper Divisor Sum 19,936,602

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9783253 ← → #9783283

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 293 315 318 371 477 530 586 630 742 795 879 954 1,113 1,465 1,590 1,758 1,855 2,051 2,226 2,385 2,637 2,930 3,339 3,710 4,102 4,395 4,770 5,274 5,565 6,153 6,678 8,790 10,255 11,130

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

9,783,270 4,891,635 14,674,906 7,337,453 22,012,360 11,006,180 5,503,090 2,751,545 8,254,636 4,127,318 2,063,659 6,190,978 3,095,489 9,286,468 4,643,234 2,321,617 6,964,852 3,482,426 1,741,213 5,223,640 2,611,820 1,305,910 652,955 1,958,866 979,433 2,938,300 1,469,150 734,575 2,203,726 1,101,863 3,305,590 1,652,795 4,958,386 2,479,193 7,437,580 3,718,790 1,859,395 5,578,186 2,789,093 8,367,280 4,183,640 2,091,820 1,045,910 522,955 1,568,866 784,433 2,353,300 1,176,650 588,325 1,764,976 882,488 441,244 220,622 110,311 330,934 165,467 496,402 248,201 744,604 372,302

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