3 × 5 × 7³ × 157

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,516,800

Proper Divisor Sum 709,035

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #807757 ← → #807787

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

807,765 2,423,296 1,211,648 605,824 302,912 151,456 75,728 37,864 18,932 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862

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