2 × 3⁵ × 11 × 41 × 157

Prime Factor Structure

Factorization String 2 × 3^5 × 11 × 41 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 86,958,144

Proper Divisor Sum 52,545,942

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #34412153 ← → #34412207

1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 157 162 198 243 246 297 314 369 451 471 486 594 738 891 902 942 1,107 1,353 1,413 1,727 1,782 2,214 2,673 2,706 2,826 3,321 3,454 4,059 4,239 5,181 5,346 6,437 6,642 8,118 8,478 9,963 10,362 12,177 12,717 12,874 15,543 19,311 19,926

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

34,412,202 17,206,101 51,618,304 25,809,152 12,904,576 6,452,288 3,226,144 1,613,072 806,536 403,268 201,634 100,817 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012

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