2⁵ × 5³ × 193

Prime Factor Structure

Factorization String 2^5 × 5^3 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,906,632

Proper Divisor Sum 1,134,632

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #771997 ← → #772001

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 772 800 965 1,000 1,544 1,930 2,000 3,088 3,860 4,000 4,825 6,176 7,720 9,650 15,440 19,300 24,125 30,880 38,600 48,250 77,200 96,500 154,400 193,000 386,000 772,000

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

772,000 386,000 193,000 96,500 48,250 24,125 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818

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