λ
Harmonic Matrix

11,889

32 × 1321
Deficient Odd Composite

11,889 has digital root 9. The neighboring primes are 11887 and 11897; its proper-divisor sum differs from the starting integer by -6,592.

Prime Factor Structure

Factorization String 3^2 × 1321
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 17,186
Proper Divisor Sum 5,297
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11887 ← → #11897

Radix Representation

Decimal 11889
Binary 10111001110001 (14 bits)
Octal 0o27161
Hexadecimal 0x2E71

Divisor Catalog (6)

Collatz Trajectory (50 steps to reach 1)

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

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