λ
Integer Codex

6,000,327

32 × 372 × 487
Deficient Odd Composite

For 6,000,327, the 18 positive divisors have a total of 8,926,008. Removing 6,000,327 leaves 2,925,681, which gives the deficient classification.

Resources

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Prime Factor Structure

Factorization String 3^2 × 37^2 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,926,008
Proper Divisor Sum 2,925,681
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6000317 ← → #6000343

Radix Representation

Decimal 6000327
Binary 10110111000111011000111 (23 bits)
Octal 0o26707307
Hexadecimal 0x5B8EC7

Divisor Catalog (5 of 18)

1 3 9 37 111

Collatz Trajectory (113 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.

6,000,327 18,000,982 9,000,491 27,001,474 13,500,737

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