2² × 3³ × 11² × 31

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,191,680

Proper Divisor Sum 786,572

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #405091 ← → #405143

1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 372 396 484 558 594 682 726 837 1,023 1,089 1,116 1,188 1,364 1,452 1,674 2,046 2,178 3,069 3,267 3,348 3,751 4,092 4,356 6,138 6,534 7,502 9,207 11,253 12,276

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

405,108 202,554 101,277 303,832 151,916 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572

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