2⁴ × 5 × 13² × 31

Prime Factor Structure

Factorization String 2^4 × 5 × 13^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,089,216

Proper Divisor Sum 670,096

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #419087 ← → #419141

1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 169 208 248 260 310 338 403 496 520 620 676 806 845 1,040 1,240 1,352 1,612 1,690 2,015 2,480 2,704 3,224 3,380 4,030 5,239 6,448 6,760 8,060 10,478 13,520 16,120 20,956 26,195 32,240 41,912 52,390 83,824 104,780 209,560 419,120

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

419,120 209,560 104,780 52,390 26,195 78,586 39,293 117,880 58,940 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445

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