3⁴ × 5 × 7² × 11

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 496,584

Proper Divisor Sum 278,289

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #218287 ← → #218357

1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 245 297 315 385 405 441 495 539 567 693 735 891 945 1,155 1,323 1,485 1,617 2,079 2,205 2,695 2,835 3,465 3,969 4,455 4,851 6,237 6,615 8,085 10,395 14,553 19,845 24,255 31,185 43,659 72,765 218,295

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

218,295 654,886 327,443 982,330 491,165 1,473,496 736,748 368,374 184,187 552,562 276,281 828,844 414,422 207,211 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959 497,878 248,939 746,818 373,409 1,120,228 560,114 280,057 840,172 420,086 210,043 630,130 315,065 945,196 472,598 236,299 708,898 354,449 1,063,348 531,674 265,837 797,512 398,756 199,378 99,689 299,068

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