λ
Harmonic Matrix

4,164,014

2 × 17 × 122471
Deficient Even Composite

4,164,014 has digital root 2. The neighboring primes are 4164007 and 4164019; its proper-divisor sum differs from the starting integer by -1,714,540.

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Prime Factor Structure

Factorization String 2 × 17 × 122471
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,613,488
Proper Divisor Sum 2,449,474
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4164007 ← → #4164019

Radix Representation

Decimal 4164014
Binary 1111111000100110101110 (22 bits)
Octal 0o17704656
Hexadecimal 0x3F89AE

Divisor Catalog (5 of 8)

1 2 17 34 122,471

Collatz Trajectory (198 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.

4,164,014 2,082,007 6,246,022 3,123,011 9,369,034

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