3³ × 5 × 7 × 11 × 89

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,073,600

Proper Divisor Sum 1,148,445

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #925153 ← → #925159

1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 89 99 105 135 165 189 231 267 297 315 385 445 495 623 693 801 945 979 1,155 1,335 1,485 1,869 2,079 2,403 2,937 3,115 3,465 4,005 4,895 5,607 6,853 8,811 9,345 10,395 12,015 14,685 16,821 20,559 26,433 28,035 34,265 44,055 61,677 84,105 102,795

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

925,155 2,775,466 1,387,733 4,163,200 2,081,600 1,040,800 520,400 260,200 130,100 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228

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