2³ × 3 × 7² × 13 × 659

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 13 × 659

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 31,600,800

Proper Divisor Sum 21,526,008

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #10074763 ← → #10074797

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 659 728 1,092 1,176 1,274 1,318 1,911 1,977 2,184 2,548 2,636 3,822 3,954 4,613 5,096 5,272 7,644 7,908 8,567 9,226 13,839 15,288 15,816

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

10,074,792 5,037,396 2,518,698 1,259,349 3,778,048 1,889,024 944,512 472,256 236,128 118,064 59,032 29,516 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970

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