λ
Harmonic Matrix

6,135,165

32 × 5 × 136337
Deficient Odd Composite

6,135,165 has digital root 9. The neighboring primes are 6135163 and 6135167; its proper-divisor sum differs from the starting integer by -1,635,966.

Prime Factor Structure

Factorization String 3^2 × 5 × 136337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,634,364
Proper Divisor Sum 4,499,199
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6135163 ← → #6135167

Radix Representation

Decimal 6135165
Binary 10111011001110101111101 (23 bits)
Octal 0o27316575
Hexadecimal 0x5D9D7D

Divisor Catalog (12)

Collatz Trajectory (103 steps to reach 1)

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

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