3 × 7² × 53 × 89

Prime Factor Structure

Factorization String 3 × 7^2 × 53 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,108,080

Proper Divisor Sum 414,681

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #693397 ← → #693401

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

693,399 2,080,198 1,040,099 3,120,298 1,560,149 4,680,448 2,340,224 1,170,112 585,056 292,528 146,264 73,132 36,566 18,283 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734

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