3 × 7 × 17 × 41 × 47

Prime Factor Structure

Factorization String 3 × 7 × 17 × 41 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,161,216

Proper Divisor Sum 473,277

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #687931 ← → #687949

1 3 7 17 21 41 47 51 119 123 141 287 329 357 697 799 861 987 1,927 2,091 2,397 4,879 5,593 5,781 13,489 14,637 16,779 32,759 40,467 98,277 229,313 687,939

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

687,939 2,063,818 1,031,909 3,095,728 1,547,864 773,932 386,966 193,483 580,450 290,225 870,676 435,338 217,669 653,008 326,504 163,252 81,626 40,813 122,440 61,220 30,610 15,305 45,916 22,958 11,479 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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