2 × 7² × 37 × 47²

Prime Factor Structure

Factorization String 2 × 7^2 × 37 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,665,986

Proper Divisor Sum 6,656,152

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8009831 ← → #8009843

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

8,009,834 4,004,917 12,014,752 6,007,376 3,003,688 1,501,844 750,922 375,461 1,126,384 563,192 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179 2,283,538 1,141,769 3,425,308 1,712,654 856,327 2,568,982 1,284,491 3,853,474 1,926,737 5,780,212 2,890,106 1,445,053 4,335,160 2,167,580 1,083,790 541,895 1,625,686 812,843 2,438,530 1,219,265 3,657,796 1,828,898

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