3² × 7³ × 17

Prime Factor Structure

Factorization String 3^2 × 7^3 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 93,600

Proper Divisor Sum 41,121

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #52457 ← → #52489

1 3 7 9 17 21 49 51 63 119 147 153 343 357 441 833 1,029 1,071 2,499 3,087 5,831 7,497 17,493 52,479

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

52,479 157,438 78,719 236,158 118,079 354,238 177,119 531,358 265,679 797,038 398,519 1,195,558 597,779 1,793,338 896,669 2,690,008 1,345,004 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383 718,150 359,075 1,077,226 538,613 1,615,840 807,920 403,960 201,980 100,990 50,495 151,486 75,743 227,230 113,615 340,846 170,423 511,270 255,635 766,906 383,453 1,150,360 575,180 287,590 143,795 431,386

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