2¹² × 3²

Prime Factor Structure

Factorization String 2^12 × 3^2

Distinct Prime Factors 2

Square Status Yes (√36864 = 192)

Abundance Measure Abundant

Analytical Properties

Total Divisors 39

Divisor Sum (σ) 106,483

Proper Divisor Sum 69,619

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #36857 ← → #36871

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1,024 1,152 1,536 2,048 2,304 3,072 4,096 4,608 6,144 9,216 12,288 18,432 36,864

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

36,864 18,432 9,216 4,608 2,304 1,152 576 288 144 72 36 18 9 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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