λ
Harmonic Matrix

6,777,627

3 × 113 × 19993
Deficient Odd Composite

6,777,627 has digital root 6. The neighboring primes are 6777613 and 6777629; its proper-divisor sum differs from the starting integer by -4,437,990.

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Prime Factor Structure

Factorization String 3 × 113 × 19993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,117,264
Proper Divisor Sum 2,339,637
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6777613 ← → #6777629

Radix Representation

Decimal 6777627
Binary 11001110110101100011011 (23 bits)
Octal 0o31665433
Hexadecimal 0x676B1B

Divisor Catalog (5 of 8)

Collatz Trajectory (147 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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