λ
Prime Ledger

6,813,384

23 × 3 × 313 × 907
Abundant Even Composite

6,813,384 has the prime decomposition 2^3 × 3 × 313 × 907. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 313 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,106,720
Proper Divisor Sum 10,293,336
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6813371 ← → #6813403

Radix Representation

Decimal 6813384
Binary 11001111111011011001000 (23 bits)
Octal 0o31773310
Hexadecimal 0x67F6C8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (116 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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