2³ × 3 × 5 × 43 × 61

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 43 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 982,080

Proper Divisor Sum 667,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #314747 ← → #314761

1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 61 86 120 122 129 172 183 215 244 258 305 344 366 430 488 516 610 645 732 860 915 1,032 1,220 1,290 1,464 1,720 1,830 2,440 2,580 2,623 3,660 5,160 5,246 7,320 7,869 10,492 13,115 15,738 20,984 26,230 31,476 39,345 52,460 62,952

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

314,760 157,380 78,690 39,345 118,036 59,018 29,509 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 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 31,985 95,956 47,978 23,989 71,968

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