λ
Harmonic Matrix

4,013,343

32 × 172 × 1543
Deficient Odd Composite

4,013,343 has digital root 9. The neighboring primes are 4013329 and 4013363; its proper-divisor sum differs from the starting integer by -1,864,582.

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Prime Factor Structure

Factorization String 3^2 × 17^2 × 1543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,162,104
Proper Divisor Sum 2,148,761
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4013329 ← → #4013363

Radix Representation

Decimal 4013343
Binary 1111010011110100011111 (22 bits)
Octal 0o17236437
Hexadecimal 0x3D3D1F

Divisor Catalog (5 of 18)

1 3 9 17 51

Collatz Trajectory (167 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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