3 × 7 × 13 × 19 × 79

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 716,800

Proper Divisor Sum 307,027

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #409769 ← → #409777

1 3 7 13 19 21 39 57 79 91 133 237 247 273 399 553 741 1,027 1,501 1,659 1,729 3,081 4,503 5,187 7,189 10,507 19,513 21,567 31,521 58,539 136,591 409,773

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

409,773 1,229,320 614,660 307,330 153,665 460,996 230,498 115,249 345,748 172,874 86,437 259,312 129,656 64,828 32,414 16,207 48,622 24,311 72,934 36,467 109,402 54,701 164,104 82,052 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604

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