λ
Harmonic Matrix

41,135

5 × 19 × 433
Deficient Odd Composite

41,135 has digital root 5. The neighboring primes are 41131 and 41141; its proper-divisor sum differs from the starting integer by -30,190.

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Prime Factor Structure

Factorization String 5 × 19 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 52,080
Proper Divisor Sum 10,945
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #41131 ← → #41141

Radix Representation

Decimal 41135
Binary 1010000010101111 (16 bits)
Octal 0o120257
Hexadecimal 0xA0AF

Divisor Catalog (5 of 8)

1 5 19 95 433

Collatz Trajectory (137 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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