λ
Prime Ledger

11,232

25 × 33 × 13
Abundant Even Composite

11,232 has the prime decomposition 2^5 × 3^3 × 13. Its 3 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3^3 × 13
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,280
Proper Divisor Sum 24,048
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #11213 ← → #11239

Radix Representation

Decimal 11232
Binary 10101111100000 (14 bits)
Octal 0o25740
Hexadecimal 0x2BE0

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (86 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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