λ
Harmonic Matrix

8,676,945

32 × 5 × 29 × 61 × 109
Deficient Odd Composite

8,676,945 has digital root 9. The neighboring primes are 8676937 and 8676949; its proper-divisor sum differs from the starting integer by -1,395,090.

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Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 61 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,958,800
Proper Divisor Sum 7,281,855
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8676937 ← → #8676949

Radix Representation

Decimal 8676945
Binary 100001000110011001010001 (24 bits)
Octal 0o41063121
Hexadecimal 0x846651

Divisor Catalog (5 of 48)

1 3 5 9 15

Collatz Trajectory (212 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.

8,676,945 26,030,836 13,015,418 6,507,709 19,523,128

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