λ
Harmonic Matrix

3,379,747

7 × 29 × 16649
Deficient Odd Composite

3,379,747 has digital root 4. The neighboring primes are 3379741 and 3379751; its proper-divisor sum differs from the starting integer by -2,763,494.

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Prime Factor Structure

Factorization String 7 × 29 × 16649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,996,000
Proper Divisor Sum 616,253
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3379741 ← → #3379751

Radix Representation

Decimal 3379747
Binary 1100111001001000100011 (22 bits)
Octal 0o14711043
Hexadecimal 0x339223

Divisor Catalog (5 of 8)

1 7 29 203 16,649

Collatz Trajectory (146 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.

3,379,747 10,139,242 5,069,621 15,208,864 7,604,432

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