2³ × 5 × 7 × 29 × 101

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 29 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,203,200

Proper Divisor Sum 1,383,080

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #820117 ← → #820129

1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 101 116 140 145 202 203 232 280 290 404 406 505 580 707 808 812 1,010 1,015 1,160 1,414 1,624 2,020 2,030 2,828 2,929 3,535 4,040 4,060 5,656 5,858 7,070 8,120 11,716 14,140 14,645 20,503 23,432 28,280 29,290 41,006 58,580 82,012 102,515 117,160

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

820,120 410,060 205,030 102,515 307,546 153,773 461,320 230,660 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 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.