3 × 7² × 11 × 257

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 705,888

Proper Divisor Sum 290,319

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #415567 ← → #415577

1 3 7 11 21 33 49 77 147 231 257 539 771 1,617 1,799 2,827 5,397 8,481 12,593 19,789 37,779 59,367 138,523 415,569

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

415,569 1,246,708 623,354 311,677 935,032 467,516 233,758 116,879 350,638 175,319 525,958 262,979 788,938 394,469 1,183,408 591,704 295,852 147,926 73,963 221,890 110,945 332,836 166,418 83,209 249,628 124,814 62,407 187,222 93,611 280,834 140,417 421,252 210,626 105,313 315,940 157,970 78,985 236,956 118,478 59,239 177,718 88,859 266,578 133,289 399,868 199,934 99,967 299,902 149,951 449,854 224,927 674,782 337,391 1,012,174 506,087 1,518,262 759,131 2,277,394 1,138,697 3,416,092

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