3 × 11² × 311

Prime Factor Structure

Factorization String 3 × 11^2 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 165,984

Proper Divisor Sum 53,091

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #112877 ← → #112901

1 3 11 33 121 311 363 933 3,421 10,263 37,631 112,893

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

112,893 338,680 169,340 84,670 42,335 127,006 63,503 190,510 95,255 285,766 142,883 428,650 214,325 642,976 321,488 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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