2 × 3² × 5 × 17 × 31

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 134,784

Proper Divisor Sum 87,354

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #47419 ← → #47431

1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1,054 1,395 1,530 1,581 2,635 2,790 3,162 4,743 5,270 7,905 9,486 15,810 23,715 47,430

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

47,430 23,715 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050

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