3² × 7 × 13 × 523

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 762,944

Proper Divisor Sum 334,607

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #428303 ← → #428339

1 3 7 9 13 21 39 63 91 117 273 523 819 1,569 3,661 4,707 6,799 10,983 20,397 32,949 47,593 61,191 142,779 428,337

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

428,337 1,285,012 642,506 321,253 963,760 481,880 240,940 120,470 60,235 180,706 90,353 271,060 135,530 67,765 203,296 101,648 50,824 25,412 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454

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