λ
Harmonic Matrix

9,000,311

67 × 134333
Deficient Odd Composite

9,000,311 has digital root 5. The neighboring primes are 9000289 and 9000317; its proper-divisor sum differs from the starting integer by -8,865,910.

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Prime Factor Structure

Factorization String 67 × 134333
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,134,712
Proper Divisor Sum 134,401
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #9000289 ← → #9000317

Radix Representation

Decimal 9000311
Binary 100010010101010101110111 (24 bits)
Octal 0o42252567
Hexadecimal 0x895577

Divisor Catalog (4)

1 67 134,333 9,000,311

Collatz Trajectory (256 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.

9,000,311 27,000,934 13,500,467 40,501,402 20,250,701

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