3 × 7 × 17 × 31 × 37

Prime Factor Structure

Factorization String 3 × 7 × 17 × 31 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 700,416

Proper Divisor Sum 290,937

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #409477 ← → #409483

1 3 7 17 21 31 37 51 93 111 119 217 259 357 527 629 651 777 1,147 1,581 1,887 3,441 3,689 4,403 8,029 11,067 13,209 19,499 24,087 58,497 136,493 409,479

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

409,479 1,228,438 614,219 1,842,658 921,329 2,763,988 1,381,994 690,997 2,072,992 1,036,496 518,248 259,124 129,562 64,781 194,344 97,172 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74

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