2³ × 5² × 11 × 311

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,740,960

Proper Divisor Sum 1,056,760

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #684191 ← → #684217

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

684,200 342,100 171,050 85,525 256,576 128,288 64,144 32,072 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062

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