2³ × 5 × 7 × 11 × 139

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,209,600

Proper Divisor Sum 781,480

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #428093 ← → #428137

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 139 140 154 220 278 280 308 385 440 556 616 695 770 973 1,112 1,390 1,529 1,540 1,946 2,780 3,058 3,080 3,892 4,865 5,560 6,116 7,645 7,784 9,730 10,703 12,232 15,290 19,460 21,406 30,580 38,920 42,812 53,515 61,160

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

428,120 214,060 107,030 53,515 160,546 80,273 240,820 120,410 60,205 180,616 90,308 45,154 22,577 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300

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