2³ × 3 × 13 × 31 × 41

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 31 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,128,960

Proper Divisor Sum 732,408

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #396547 ← → #396563

1 2 3 4 6 8 12 13 24 26 31 39 41 52 62 78 82 93 104 123 124 156 164 186 246 248 312 328 372 403 492 533 744 806 984 1,066 1,209 1,271 1,599 1,612 2,132 2,418 2,542 3,198 3,224 3,813 4,264 4,836 5,084 6,396 7,626 9,672 10,168 12,792 15,252 16,523 30,504 33,046 49,569 66,092

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

396,552 198,276 99,138 49,569 148,708 74,354 37,177 111,532 55,766 27,883 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516

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