2² × 3² × 11 × 29 × 37 × 193

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 29 × 37 × 193

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 241,506,720

Proper Divisor Sum 159,499,476

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #82007243 ← → #82007267

1 2 3 4 6 9 11 12 18 22 29 33 36 37 44 58 66 74 87 99 111 116 132 148 174 193 198 222 261 319 333 348 386 396 407 444 522 579 638 666 772 814 957 1,044 1,073 1,158 1,221 1,276 1,332 1,628 1,737 1,914 2,123 2,146 2,316 2,442 2,871 3,219 3,474 3,663

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

82,007,244 41,003,622 20,501,811 61,505,434 30,752,717 92,258,152 46,129,076 23,064,538 11,532,269 34,596,808 17,298,404 8,649,202 4,324,601 12,973,804 6,486,902 3,243,451 9,730,354 4,865,177 14,595,532 7,297,766 3,648,883 10,946,650 5,473,325 16,419,976 8,209,988 4,104,994 2,052,497 6,157,492 3,078,746 1,539,373 4,618,120 2,309,060 1,154,530 577,265 1,731,796 865,898 432,949 1,298,848 649,424 324,712 162,356 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410

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