3 × 5² × 7² × 13

Prime Factor Structure

Factorization String 3 × 5^2 × 7^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 98,952

Proper Divisor Sum 51,177

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #47743 ← → #47777

1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 975 1,225 1,365 1,911 2,275 3,185 3,675 6,825 9,555 15,925 47,775

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

47,775 143,326 71,663 214,990 107,495 322,486 161,243 483,730 241,865 725,596 362,798 181,399 544,198 272,099 816,298 408,149 1,224,448 612,224 306,112 153,056 76,528 38,264 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820

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