3 × 7² × 13 × 239

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 766,080

Proper Divisor Sum 309,351

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #456727 ← → #456737

1 3 7 13 21 39 49 91 147 239 273 637 717 1,673 1,911 3,107 5,019 9,321 11,711 21,749 35,133 65,247 152,243 456,729

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

456,729 1,370,188 685,094 342,547 1,027,642 513,821 1,541,464 770,732 385,366 192,683 578,050 289,025 867,076 433,538 216,769 650,308 325,154 162,577 487,732 243,866 121,933 365,800 182,900 91,450 45,725 137,176 68,588 34,294 17,147 51,442 25,721 77,164 38,582 19,291 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

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