2 × 5 × 7³ × 11

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 86,400

Proper Divisor Sum 48,670

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #37717 ← → #37747

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 343 385 490 539 686 770 1,078 1,715 2,695 3,430 3,773 5,390 7,546 18,865 37,730

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

37,730 18,865 56,596 28,298 14,149 42,448 21,224 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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