3³ × 5 × 7 × 19

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 38,400

Proper Divisor Sum 20,445

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17939 ← → #17957

1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1,197 1,995 2,565 3,591 5,985 17,955

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

17,955 53,866 26,933 80,800 40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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