2² × 3³ × 7 × 73 × 743

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 73 × 743

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 123,325,440

Proper Divisor Sum 82,320,756

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #41004683 ← → #41004709

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 743 756 876 1,022 1,314 1,486 1,533 1,971 2,044 2,229 2,628 2,972 3,066 3,942 4,458 4,599 5,201 6,132 6,687 7,884 8,916 9,198 10,402 13,374 13,797 15,603 18,396 20,061 20,804 26,748

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

41,004,684 20,502,342 10,251,171 30,753,514 15,376,757 46,130,272 23,065,136 11,532,568 5,766,284 2,883,142 1,441,571 4,324,714 2,162,357 6,487,072 3,243,536 1,621,768 810,884 405,442 202,721 608,164 304,082 152,041 456,124 228,062 114,031 342,094 171,047 513,142 256,571 769,714 384,857 1,154,572 577,286 288,643 865,930 432,965 1,298,896 649,448 324,724 162,362 81,181 243,544 121,772 60,886 30,443 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348

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