2² × 3² × 5 × 7 × 353

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,546,272

Proper Divisor Sum 1,101,492

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #444767 ← → #444791

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 353 420 630 706 1,059 1,260 1,412 1,765 2,118 2,471 3,177 3,530 4,236 4,942 5,295 6,354 7,060 7,413 9,884 10,590 12,355 12,708 14,826 15,885 21,180 22,239 24,710

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

444,780 222,390 111,195 333,586 166,793 500,380 250,190 125,095 375,286 187,643 562,930 281,465 844,396 422,198 211,099 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573

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