2² × 3 × 5 × 13² × 41

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,291,248

Proper Divisor Sum 875,508

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #415729 ← → #415759

1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 169 195 205 246 260 338 390 410 492 507 533 615 676 780 820 845 1,014 1,066 1,230 1,599 1,690 2,028 2,132 2,460 2,535 2,665 3,198 3,380 5,070 5,330 6,396 6,929 7,995 10,140 10,660 13,858

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

415,740 207,870 103,935 311,806 155,903 467,710 233,855 701,566 350,783 1,052,350 526,175 1,578,526 789,263 2,367,790 1,183,895 3,551,686 1,775,843 5,327,530 2,663,765 7,991,296 3,995,648 1,997,824 998,912 499,456 249,728 124,864 62,432 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639

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