2³ × 3 × 7 × 41 × 61

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 41 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,249,920

Proper Divisor Sum 829,752

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #420163 ← → #420191

1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 61 82 84 122 123 164 168 183 244 246 287 328 366 427 488 492 574 732 854 861 984 1,148 1,281 1,464 1,708 1,722 2,296 2,501 2,562 3,416 3,444 5,002 5,124 6,888 7,503 10,004 10,248 15,006 17,507 20,008 30,012 35,014 52,521 60,024 70,028

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

420,168 210,084 105,042 52,521 157,564 78,782 39,391 118,174 59,087 177,262 88,631 265,894 132,947 398,842 199,421 598,264 299,132 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780 567,890 283,945 851,836 425,918 212,959 638,878 319,439 958,318 479,159 1,437,478 718,739 2,156,218 1,078,109 3,234,328 1,617,164 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707 341,122 170,561 511,684 255,842 127,921 383,764 191,882 95,941

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