2² × 3 × 5² × 7 × 193

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,347,136

Proper Divisor Sum 941,836

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #405299 ← → #405323

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 193 210 300 350 386 420 525 579 700 772 965 1,050 1,158 1,351 1,930 2,100 2,316 2,702 2,895 3,860 4,053 4,825 5,404 5,790 6,755 8,106 9,650 11,580 13,510 14,475 16,212 19,300

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

405,300 202,650 101,325 303,976 151,988 75,994 37,997 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430

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