2⁶ × 7³ × 31

Prime Factor Structure

Factorization String 2^6 × 7^3 × 31

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 1,625,600

Proper Divisor Sum 945,088

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #680509 ← → #680531

1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 343 392 434 448 496 686 784 868 992 1,372 1,519 1,568 1,736 1,984 2,744 3,038 3,136 3,472 5,488 6,076 6,944 10,633 10,976 12,152 13,888 21,266 21,952 24,304 42,532 48,608 85,064 97,216 170,128 340,256 680,512

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

680,512 340,256 170,128 85,064 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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