λ
Prime Ledger

6,347,775

3 × 52 × 7 × 107 × 113
Deficient Odd Composite

6,347,775 has the prime decomposition 3 × 5^2 × 7 × 107 × 113. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 107 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,213,504
Proper Divisor Sum 5,865,729
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6347771 ← → #6347791

Radix Representation

Decimal 6347775
Binary 11000001101101111111111 (23 bits)
Octal 0o30155777
Hexadecimal 0x60DBFF

Divisor Catalog (5 of 48)

1 3 5 7 15

Collatz Trajectory (271 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.

6,347,775 19,043,326 9,521,663 28,564,990 14,282,495

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