2² × 3 × 5⁴ × 61

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,355,816

Proper Divisor Sum 898,316

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #457469 ← → #457507

1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 125 150 183 244 250 300 305 366 375 500 610 625 732 750 915 1,220 1,250 1,500 1,525 1,830 1,875 2,500 3,050 3,660 3,750 4,575 6,100 7,500 7,625 9,150 15,250 18,300 22,875 30,500 38,125 45,750 76,250 91,500 114,375 152,500 228,750 457,500

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

457,500 228,750 114,375 343,126 171,563 514,690 257,345 772,036 386,018 193,009 579,028 289,514 144,757 434,272 217,136 108,568 54,284 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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