2³ × 5² × 7 × 43 × 47

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 43 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,856,640

Proper Divisor Sum 5,027,240

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2829397 ← → #2829403

1 2 4 5 7 8 10 14 20 25 28 35 40 43 47 50 56 70 86 94 100 140 172 175 188 200 215 235 280 301 329 344 350 376 430 470 602 658 700 860 940 1,075 1,175 1,204 1,316 1,400 1,505 1,645 1,720 1,880 2,021 2,150 2,350 2,408 2,632 3,010 3,290 4,042 4,300 4,700

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

2,829,400 1,414,700 707,350 353,675 1,061,026 530,513 1,591,540 795,770 397,885 1,193,656 596,828 298,414 149,207 447,622 223,811 671,434 335,717 1,007,152 503,576 251,788 125,894 62,947 188,842 94,421 283,264 141,632 70,816 35,408 17,704 8,852 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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