λ
Harmonic Matrix

5,806,776

23 × 3 × 313 × 773
Abundant Even Composite

5,806,776 has digital root 3. The neighboring primes are 5806771 and 5806781; its proper-divisor sum differs from the starting integer by 2,968,608.

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Prime Factor Structure

Factorization String 2^3 × 3 × 313 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,582,160
Proper Divisor Sum 8,775,384
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5806771 ← → #5806781

Radix Representation

Decimal 5806776
Binary 10110001001101010111000 (23 bits)
Octal 0o26115270
Hexadecimal 0x589AB8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (183 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.

5,806,776 2,903,388 1,451,694 725,847 2,177,542

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