2⁴ × 3³ × 5 × 26729

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 26729

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 198,871,200

Proper Divisor Sum 141,136,560

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57734639 ← → #57734647

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1,080 2,160 26,729 53,458 80,187 106,916 133,645 160,374 213,832 240,561 267,290 320,748 400,935 427,664 481,122 534,580 641,496 721,683 801,870 962,244 1,069,160 1,202,805

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

57,734,640 28,867,320 14,433,660 7,216,830 3,608,415 10,825,246 5,412,623 16,237,870 8,118,935 24,356,806 12,178,403 36,535,210 18,267,605 54,802,816 27,401,408 13,700,704 6,850,352 3,425,176 1,712,588 856,294 428,147 1,284,442 642,221 1,926,664 963,332 481,666 240,833 722,500 361,250 180,625 541,876 270,938 135,469 406,408 203,204 101,602 50,801 152,404 76,202 38,101 114,304 57,152 28,576 14,288 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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