λ
Harmonic Matrix

9,284,327

13 × 41 × 17419
Deficient Odd Composite

9,284,327 has digital root 8. The neighboring primes are 9284323 and 9284371; its proper-divisor sum differs from the starting integer by -8,325,694.

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Prime Factor Structure

Factorization String 13 × 41 × 17419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,242,960
Proper Divisor Sum 958,633
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9284323 ← → #9284371

Radix Representation

Decimal 9284327
Binary 100011011010101011100111 (24 bits)
Octal 0o43325347
Hexadecimal 0x8DAAE7

Divisor Catalog (5 of 8)

Collatz Trajectory (225 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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