λ
Harmonic Matrix

9,680,685

3 × 5 × 72 × 13171
Deficient Odd Composite

9,680,685 has digital root 6. The neighboring primes are 9680663 and 9680689; its proper-divisor sum differs from the starting integer by -1,342,074.

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Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13171
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,019,296
Proper Divisor Sum 8,338,611
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9680663 ← → #9680689

Radix Representation

Decimal 9680685
Binary 100100111011011100101101 (24 bits)
Octal 0o44733455
Hexadecimal 0x93B72D

Divisor Catalog (5 of 24)

1 3 5 7 15

Collatz Trajectory (194 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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