λ
Harmonic Matrix

3,141,467

7 × 83 × 5407
Deficient Odd Composite

3,141,467 has digital root 8. The neighboring primes are 3141443 and 3141473; its proper-divisor sum differs from the starting integer by -2,648,758.

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Prime Factor Structure

Factorization String 7 × 83 × 5407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,634,176
Proper Divisor Sum 492,709
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3141443 ← → #3141473

Radix Representation

Decimal 3141467
Binary 1011111110111101011011 (22 bits)
Octal 0o13767533
Hexadecimal 0x2FEF5B

Divisor Catalog (5 of 8)

Collatz Trajectory (133 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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