2⁹ × 3 × 5²

Prime Factor Structure

Factorization String 2^9 × 3 × 5^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 126,852

Proper Divisor Sum 88,452

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #38393 ← → #38431

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1,200 1,280 1,536 1,600 1,920 2,400 2,560 3,200 3,840 4,800 6,400 7,680 9,600 12,800 19,200 38,400

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

38,400 19,200 9,600 4,800 2,400 1,200 600 300 150 75 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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