2 × 3 × 7 × 11 × 29 × 47²

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 29 × 47^2

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 78,001,920

Proper Divisor Sum 48,405,738

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #29596141 ← → #29596183

1 2 3 6 7 11 14 21 22 29 33 42 47 58 66 77 87 94 141 154 174 203 231 282 319 329 406 462 517 609 638 658 957 987 1,034 1,218 1,363 1,551 1,914 1,974 2,209 2,233 2,726 3,102 3,619 4,089 4,418 4,466 6,627 6,699 7,238 8,178 9,541 10,857 13,254 13,398 14,993 15,463 19,082 21,714

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

29,596,182 14,798,091 44,394,274 22,197,137 66,591,412 33,295,706 16,647,853 49,943,560 24,971,780 12,485,890 6,242,945 18,728,836 9,364,418 4,682,209 14,046,628 7,023,314 3,511,657 10,534,972 5,267,486 2,633,743 7,901,230 3,950,615 11,851,846 5,925,923 17,777,770 8,888,885 26,666,656 13,333,328 6,666,664 3,333,332 1,666,666 833,333 2,500,000 1,250,000 625,000 312,500 156,250 78,125 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145

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