3 × 5³ × 7 × 11² × 31

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 11^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,245,952

Proper Divisor Sum 11,399,577

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9846311 ← → #9846377

1 3 5 7 11 15 21 25 31 33 35 55 75 77 93 105 121 125 155 165 175 217 231 275 341 363 375 385 465 525 605 651 775 825 847 875 1,023 1,085 1,155 1,375 1,705 1,815 1,925 2,325 2,387 2,541 2,625 3,025 3,255 3,751 3,875 4,125 4,235 5,115 5,425 5,775 7,161 8,525 9,075 9,625

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

9,846,375 29,539,126 14,769,563 44,308,690 22,154,345 66,463,036 33,231,518 16,615,759 49,847,278 24,923,639 74,770,918 37,385,459 112,156,378 56,078,189 168,234,568 84,117,284 42,058,642 21,029,321 63,087,964 31,543,982 15,771,991 47,315,974 23,657,987 70,973,962 35,486,981 106,460,944 53,230,472 26,615,236 13,307,618 6,653,809 19,961,428 9,980,714 4,990,357 14,971,072 7,485,536 3,742,768 1,871,384 935,692 467,846 233,923 701,770 350,885 1,052,656 526,328 263,164 131,582 65,791 197,374 98,687 296,062 148,031 444,094 222,047 666,142 333,071 999,214 499,607 1,498,822 749,411 2,248,234

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