3⁴ × 5² × 17 × 509

Prime Factor Structure

Factorization String 3^4 × 5^2 × 17 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 34,434,180

Proper Divisor Sum 16,911,855

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17522321 ← → #17522327

1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 509 675 765 1,275 1,377 1,527 2,025 2,295 2,545 3,825 4,581 6,885 7,635 8,653 11,475 12,725 13,743 22,905 25,959 34,425 38,175 41,229 43,265 68,715 77,877 114,525 129,795 206,145 216,325 233,631 343,575 389,385 648,975 700,893 1,030,725 1,168,155 1,946,925 3,504,465 5,840,775 17,522,325

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

17,522,325 52,566,976 26,283,488 13,141,744 6,570,872 3,285,436 1,642,718 821,359 2,464,078 1,232,039 3,696,118 1,848,059 5,544,178 2,772,089 8,316,268 4,158,134 2,079,067 6,237,202 3,118,601 9,355,804 4,677,902 2,338,951 7,016,854 3,508,427 10,525,282 5,262,641 15,787,924 7,893,962 3,946,981 11,840,944 5,920,472 2,960,236 1,480,118 740,059 2,220,178 1,110,089 3,330,268 1,665,134 832,567 2,497,702 1,248,851 3,746,554 1,873,277 5,619,832 2,809,916 1,404,958 702,479 2,107,438 1,053,719 3,161,158 1,580,579 4,741,738 2,370,869 7,112,608 3,556,304 1,778,152 889,076 444,538 222,269 666,808

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