3² × 7² × 29 × 31

Prime Factor Structure

Factorization String 3^2 × 7^2 × 29 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 711,360

Proper Divisor Sum 314,901

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #396449 ← → #396479

1 3 7 9 21 29 31 49 63 87 93 147 203 217 261 279 441 609 651 899 1,421 1,519 1,827 1,953 2,697 4,263 4,557 6,293 8,091 12,789 13,671 18,879 44,051 56,637 132,153 396,459

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

396,459 1,189,378 594,689 1,784,068 892,034 446,017 1,338,052 669,026 334,513 1,003,540 501,770 250,885 752,656 376,328 188,164 94,082 47,041 141,124 70,562 35,281 105,844 52,922 26,461 79,384 39,692 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516

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