λ
Harmonic Matrix

2,734,695

33 × 5 × 47 × 431
Deficient Odd Composite

2,734,695 has digital root 9. The neighboring primes are 2734673 and 2734717; its proper-divisor sum differs from the starting integer by -492,750.

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Prime Factor Structure

Factorization String 3^3 × 5 × 47 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,976,640
Proper Divisor Sum 2,241,945
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2734673 ← → #2734717

Radix Representation

Decimal 2734695
Binary 1010011011101001100111 (22 bits)
Octal 0o12335147
Hexadecimal 0x29BA67

Divisor Catalog (5 of 32)

1 3 5 9 15

Collatz Trajectory (187 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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