2 × 5² × 7 × 11 × 13

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 124,992

Proper Divisor Sum 74,942

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #50047 ← → #50051

1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 130 143 154 175 182 275 286 325 350 385 455 550 650 715 770 910 1,001 1,430 1,925 2,002 2,275 3,575 3,850 4,550 5,005 7,150 10,010 25,025 50,050

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

50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907

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