2³ × 3⁵ × 41 × 251

Prime Factor Structure

Factorization String 2^3 × 3^5 × 41 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 57,788,640

Proper Divisor Sum 37,782,936

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #20005693 ← → #20005709

1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 251 324 328 369 486 492 502 648 738 753 972 984 1,004 1,107 1,476 1,506 1,944 2,008 2,214 2,259 2,952 3,012 3,321 4,428 4,518 6,024 6,642 6,777 8,856 9,036 9,963 10,291 13,284 13,554 18,072 19,926

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

20,005,704 10,002,852 5,001,426 2,500,713 7,502,140 3,751,070 1,875,535 5,626,606 2,813,303 8,439,910 4,219,955 12,659,866 6,329,933 18,989,800 9,494,900 4,747,450 2,373,725 7,121,176 3,560,588 1,780,294 890,147 2,670,442 1,335,221 4,005,664 2,002,832 1,001,416 500,708 250,354 125,177 375,532 187,766 93,883 281,650 140,825 422,476 211,238 105,619 316,858 158,429 475,288 237,644 118,822 59,411 178,234 89,117 267,352 133,676 66,838 33,419 100,258 50,129 150,388 75,194 37,597 112,792 56,396 28,198 14,099 42,298 21,149

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