λ
Harmonic Matrix

6,613,726

2 × 73 × 31 × 311
Deficient Even Composite

6,613,726 has digital root 4. The neighboring primes are 6613631 and 6613753; its proper-divisor sum differs from the starting integer by -1,246,652.

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Prime Factor Structure

Factorization String 2 × 7^3 × 31 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,980,800
Proper Divisor Sum 5,367,074
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6613631 ← → #6613753

Radix Representation

Decimal 6613726
Binary 11001001110101011011110 (23 bits)
Octal 0o31165336
Hexadecimal 0x64EADE

Divisor Catalog (5 of 32)

1 2 7 14 31

Collatz Trajectory (165 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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