3 × 5 × 7 × 17 × 409

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 409

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,416,960

Proper Divisor Sum 686,895

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #730049 ← → #730069

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

730,065 2,190,196 1,095,098 547,549 1,642,648 821,324 410,662 205,331 615,994 307,997 923,992 461,996 230,998 115,499 346,498 173,249 519,748 259,874 129,937 389,812 194,906 97,453 292,360 146,180 73,090 36,545 109,636 54,818 27,409 82,228 41,114 20,557 61,672 30,836 15,418 7,709 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130

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