2 × 3² × 7 × 11³ × 73

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11^3 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 33,800,832

Proper Divisor Sum 21,558,294

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12242521 ← → #12242539

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 121 126 146 154 198 219 231 242 363 438 462 511 657 693 726 803 847 1,022 1,089 1,314 1,331 1,386 1,533 1,606 1,694 2,178 2,409 2,541 2,662 3,066 3,993 4,599 4,818 5,082 5,621 7,227 7,623 7,986 8,833 9,198 9,317 11,242

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

12,242,538 6,121,269 18,363,808 9,181,904 4,590,952 2,295,476 1,147,738 573,869 1,721,608 860,804 430,402 215,201 645,604 322,802 161,401 484,204 242,102 121,051 363,154 181,577 544,732 272,366 136,183 408,550 204,275 612,826 306,413 919,240 459,620 229,810 114,905 344,716 172,358 86,179 258,538 129,269 387,808 193,904 96,952 48,476 24,238 12,119 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946

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