2 × 3⁵ × 5 × 53²

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 53^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 18,758,376

Proper Divisor Sum 11,932,506

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6825829 ← → #6825877

1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1,215 1,431 1,590 2,385 2,430 2,809 2,862 4,293 4,770 5,618 7,155 8,427 8,586 12,879 14,045 14,310 16,854 21,465 25,281 25,758 28,090 42,135 42,930 50,562 64,395 75,843 84,270 126,405 128,790

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

6,825,870 3,412,935 10,238,806 5,119,403 15,358,210 7,679,105 23,037,316 11,518,658 5,759,329 17,277,988 8,638,994 4,319,497 12,958,492 6,479,246 3,239,623 9,718,870 4,859,435 14,578,306 7,289,153 21,867,460 10,933,730 5,466,865 16,400,596 8,200,298 4,100,149 12,300,448 6,150,224 3,075,112 1,537,556 768,778 384,389 1,153,168 576,584 288,292 144,146 72,073 216,220 108,110 54,055 162,166 81,083 243,250 121,625 364,876 182,438 91,219 273,658 136,829 410,488 205,244 102,622 51,311 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766

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