λ
Harmonic Matrix

9,876,145

5 × 619 × 3191
Deficient Odd Composite

9,876,145 has digital root 4. The neighboring primes are 9876137 and 9876149; its proper-divisor sum differs from the starting integer by -7,878,050.

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Prime Factor Structure

Factorization String 5 × 619 × 3191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,874,240
Proper Divisor Sum 1,998,095
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9876137 ← → #9876149

Radix Representation

Decimal 9876145
Binary 100101101011001010110001 (24 bits)
Octal 0o45531261
Hexadecimal 0x96B2B1

Divisor Catalog (5 of 8)

Collatz Trajectory (88 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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