3 × 7³ × 79

Prime Factor Structure

Factorization String 3 × 7^3 × 79

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 128,000

Proper Divisor Sum 46,709

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #81283 ← → #81293

1 3 7 21 49 79 147 237 343 553 1,029 1,659 3,871 11,613 27,097 81,291

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

81,291 243,874 121,937 365,812 182,906 91,453 274,360 137,180 68,590 34,295 102,886 51,443 154,330 77,165 231,496 115,748 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098

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