2 × 3³ × 19 × 31

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 76,800

Proper Divisor Sum 44,994

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31799 ← → #31817

1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1,026 1,178 1,674 1,767 3,534 5,301 10,602 15,903 31,806

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

31,806 15,903 47,710 23,855 71,566 35,783 107,350 53,675 161,026 80,513 241,540 120,770 60,385 181,156 90,578 45,289 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962 85,981 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270

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