3⁴ × 7² × 11²

Prime Factor Structure

Factorization String 3^4 × 7^2 × 11^2

Distinct Prime Factors 3

Square Status Yes (√480249 = 693)

Abundance Measure Deficient

Analytical Properties

Total Divisors 45

Divisor Sum (σ) 917,301

Proper Divisor Sum 437,052

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #480209 ← → #480287

1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 297 363 441 539 567 693 847 891 1,089 1,323 1,617 2,079 2,541 3,267 3,969 4,851 5,929 6,237 7,623 9,801 14,553 17,787 22,869 43,659 53,361 68,607 160,083 480,249

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

480,249 1,440,748 720,374 360,187 1,080,562 540,281 1,620,844 810,422 405,211 1,215,634 607,817 1,823,452 911,726 455,863 1,367,590 683,795 2,051,386 1,025,693 3,077,080 1,538,540 769,270 384,635 1,153,906 576,953 1,730,860 865,430 432,715 1,298,146 649,073 1,947,220 973,610 486,805 1,460,416 730,208 365,104 182,552 91,276 45,638 22,819 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286

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