3⁴ × 5 × 13 × 17 × 53

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 17 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 9,879,408

Proper Divisor Sum 5,135,643

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4743743 ← → #4743769

1 3 5 9 13 15 17 27 39 45 51 53 65 81 85 117 135 153 159 195 221 255 265 351 405 459 477 585 663 689 765 795 901 1,053 1,105 1,377 1,431 1,755 1,989 2,067 2,295 2,385 2,703 3,315 3,445 4,293 4,505 5,265 5,967 6,201 6,885 7,155 8,109 9,945 10,335 11,713 13,515 17,901 18,603 21,465

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

4,743,765 14,231,296 7,115,648 3,557,824 1,778,912 889,456 444,728 222,364 111,182 55,591 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095

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