3³ × 5 × 11 × 13 × 37

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 13 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,532,160

Proper Divisor Sum 817,875

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #714283 ← → #714341

1 3 5 9 11 13 15 27 33 37 39 45 55 65 99 111 117 135 143 165 185 195 297 333 351 407 429 481 495 555 585 715 999 1,221 1,287 1,443 1,485 1,665 1,755 2,035 2,145 2,405 3,663 3,861 4,329 4,995 5,291 6,105 6,435 7,215 10,989 12,987 15,873 18,315 19,305 21,645 26,455 47,619 54,945 64,935

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

714,285 2,142,856 1,071,428 535,714 267,857 803,572 401,786 200,893 602,680 301,340 150,670 75,335 226,006 113,003 339,010 169,505 508,516 254,258 127,129 381,388 190,694 95,347 286,042 143,021 429,064 214,532 107,266 53,633 160,900 80,450 40,225 120,676 60,338 30,169 90,508 45,254 22,627 67,882 33,941 101,824 50,912 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535

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