3⁵ × 5 × 7² × 11²

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 16,556,904

Proper Divisor Sum 9,353,169

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7203697 ← → #7203739

1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 121 135 147 165 189 231 243 245 297 315 363 385 405 441 495 539 567 605 693 735 847 891 945 1,089 1,155 1,215 1,323 1,485 1,617 1,701 1,815 2,079 2,205 2,541 2,673 2,695 2,835 3,267 3,465 3,969 4,235

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

7,203,735 21,611,206 10,805,603 32,416,810 16,208,405 48,625,216 24,312,608 12,156,304 6,078,152 3,039,076 1,519,538 759,769 2,279,308 1,139,654 569,827 1,709,482 854,741 2,564,224 1,282,112 641,056 320,528 160,264 80,132 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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