3 × 7 × 11 × 13 × 31

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 172,032

Proper Divisor Sum 78,939

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #93089 ← → #93097

1 3 7 11 13 21 31 33 39 77 91 93 143 217 231 273 341 403 429 651 1,001 1,023 1,209 2,387 2,821 3,003 4,433 7,161 8,463 13,299 31,031 93,093

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

93,093 279,280 139,640 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592

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