λ
Harmonic Matrix

4,135,821

3 × 71 × 19417
Deficient Odd Composite

4,135,821 has digital root 6. The neighboring primes are 4135771 and 4135829; its proper-divisor sum differs from the starting integer by -2,679,258.

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Prime Factor Structure

Factorization String 3 × 71 × 19417
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,592,384
Proper Divisor Sum 1,456,563
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4135771 ← → #4135829

Radix Representation

Decimal 4135821
Binary 1111110001101110001101 (22 bits)
Octal 0o17615615
Hexadecimal 0x3F1B8D

Divisor Catalog (5 of 8)

Collatz Trajectory (110 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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