2⁴ × 3⁶

Prime Factor Structure

Factorization String 2^4 × 3^6

Distinct Prime Factors 2

Square Status Yes (√11664 = 108)

Abundance Measure Abundant

Analytical Properties

Total Divisors 35

Divisor Sum (σ) 33,883

Proper Divisor Sum 22,219

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #11657 ← → #11677

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1,296 1,458 1,944 2,916 3,888 5,832 11,664

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

11,664 5,832 2,916 1,458 729 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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