2³ × 5² × 17 × 47 × 61

Prime Factor Structure

Factorization String 2^3 × 5^2 × 17 × 47 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,909,120

Proper Divisor Sum 15,161,320

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9747781 ← → #9747811

1 2 4 5 8 10 17 20 25 34 40 47 50 61 68 85 94 100 122 136 170 188 200 235 244 305 340 376 425 470 488 610 680 799 850 940 1,037 1,175 1,220 1,525 1,598 1,700 1,880 2,074 2,350 2,440 2,867 3,050 3,196 3,400 3,995 4,148 4,700 5,185 5,734 6,100 6,392 7,990 8,296 9,400

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

9,747,800 4,873,900 2,436,950 1,218,475 3,655,426 1,827,713 5,483,140 2,741,570 1,370,785 4,112,356 2,056,178 1,028,089 3,084,268 1,542,134 771,067 2,313,202 1,156,601 3,469,804 1,734,902 867,451 2,602,354 1,301,177 3,903,532 1,951,766 975,883 2,927,650 1,463,825 4,391,476 2,195,738 1,097,869 3,293,608 1,646,804 823,402 411,701 1,235,104 617,552 308,776 154,388 77,194 38,597 115,792 57,896 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287

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