λ
Harmonic Matrix

7,227,327

3 × 2409109
Deficient Odd Composite

7,227,327 has digital root 3. The neighboring primes are 7227317 and 7227343; its proper-divisor sum differs from the starting integer by -4,818,214.

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Prime Factor Structure

Factorization String 3 × 2409109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,636,440
Proper Divisor Sum 2,409,113
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7227317 ← → #7227343

Radix Representation

Decimal 7227327
Binary 11011100100011110111111 (23 bits)
Octal 0o33443677
Hexadecimal 0x6E47BF

Divisor Catalog (4)

Collatz Trajectory (204 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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