2 × 3 × 13 × 17² × 31

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,650,432

Proper Divisor Sum 951,630

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #698779 ← → #698821

1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 289 403 442 527 578 663 806 867 1,054 1,209 1,326 1,581 1,734 2,418 3,162 3,757 6,851 7,514 8,959 11,271 13,702 17,918 20,553 22,542 26,877 41,106 53,754 116,467 232,934 349,401 698,802

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

698,802 349,401 1,048,204 524,102 262,051 786,154 393,077 1,179,232 589,616 294,808 147,404 73,702 36,851 110,554 55,277 165,832 82,916 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739

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