3 × 7³ × 11² × 67

Prime Factor Structure

Factorization String 3 × 7^3 × 11^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,470,400

Proper Divisor Sum 6,128,297

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8342101 ← → #8342119

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

8,342,103 25,026,310 12,513,155 37,539,466 18,769,733 56,309,200 28,154,600 14,077,300 7,038,650 3,519,325 10,557,976 5,278,988 2,639,494 1,319,747 3,959,242 1,979,621 5,938,864 2,969,432 1,484,716 742,358 371,179 1,113,538 556,769 1,670,308 835,154 417,577 1,252,732 626,366 313,183 939,550 469,775 1,409,326 704,663 2,113,990 1,056,995 3,170,986 1,585,493 4,756,480 2,378,240 1,189,120 594,560 297,280 148,640 74,320 37,160 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471

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