λ
Harmonic Matrix

3,438,168

23 × 3 × 143257
Abundant Even Composite

3,438,168 has digital root 6. The neighboring primes are 3438161 and 3438173; its proper-divisor sum differs from the starting integer by 1,719,144.

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Prime Factor Structure

Factorization String 2^3 × 3 × 143257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,595,480
Proper Divisor Sum 5,157,312
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3438161 ← → #3438173

Radix Representation

Decimal 3438168
Binary 1101000111011001011000 (22 bits)
Octal 0o15073130
Hexadecimal 0x347658

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (128 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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