2 × 3⁵ × 7 × 61 × 97

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 61 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 53,079,936

Proper Divisor Sum 32,950,302

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #20129597 ← → #20129639

1 2 3 6 7 9 14 18 21 27 42 54 61 63 81 97 122 126 162 183 189 194 243 291 366 378 427 486 549 567 582 679 854 873 1,098 1,134 1,281 1,358 1,647 1,701 1,746 2,037 2,562 2,619 3,294 3,402 3,843 4,074 4,941 5,238 5,917 6,111 7,686 7,857 9,882 11,529 11,834 12,222 14,823 15,714

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

20,129,634 10,064,817 30,194,452 15,097,226 7,548,613 22,645,840 11,322,920 5,661,460 2,830,730 1,415,365 4,246,096 2,123,048 1,061,524 530,762 265,381 796,144 398,072 199,036 99,518 49,759 149,278 74,639 223,918 111,959 335,878 167,939 503,818 251,909 755,728 377,864 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547

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