λ
Harmonic Matrix

3,438,768

24 × 3 × 31 × 2311
Abundant Even Composite

3,438,768 has digital root 3. The neighboring primes are 3438767 and 3438781; its proper-divisor sum differs from the starting integer by 2,296,480.

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Prime Factor Structure

Factorization String 2^4 × 3 × 31 × 2311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,174,016
Proper Divisor Sum 5,735,248
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3438767 ← → #3438781

Radix Representation

Decimal 3438768
Binary 1101000111100010110000 (22 bits)
Octal 0o15074260
Hexadecimal 0x3478B0

Divisor Catalog (5 of 40)

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.

3,438,768 1,719,384 859,692 429,846 214,923

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