λ
Harmonic Matrix

343,467

33 × 12721
Deficient Odd Composite

343,467 has digital root 9. The neighboring primes are 343433 and 343481; its proper-divisor sum differs from the starting integer by -178,054.

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Prime Factor Structure

Factorization String 3^3 × 12721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 508,880
Proper Divisor Sum 165,413
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #343433 ← → #343481

Radix Representation

Decimal 343467
Binary 1010011110110101011 (19 bits)
Octal 0o1236653
Hexadecimal 0x53DAB

Divisor Catalog (5 of 8)

Collatz Trajectory (210 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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