2² × 5 × 11 × 53 × 59

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 53 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,632,960

Proper Divisor Sum 945,020

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #687931 ← → #687949

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

687,940 343,970 171,985 515,956 257,978 128,989 386,968 193,484 96,742 48,371 145,114 72,557 217,672 108,836 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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