3 × 5 × 7 × 13 × 23

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 64,512

Proper Divisor Sum 33,117

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #31393 ← → #31397

1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 161 195 273 299 345 455 483 805 897 1,365 1,495 2,093 2,415 4,485 6,279 10,465 31,395

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

31,395 94,186 47,093 141,280 70,640 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196

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