λ
Harmonic Matrix

8,741,825

52 × 17 × 67 × 307
Deficient Odd Composite

8,741,825 has digital root 8. The neighboring primes are 8741813 and 8741839; its proper-divisor sum differs from the starting integer by -5,796,898.

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Prime Factor Structure

Factorization String 5^2 × 17 × 67 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,686,752
Proper Divisor Sum 2,944,927
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8741813 ← → #8741839

Radix Representation

Decimal 8741825
Binary 100001010110001111000001 (24 bits)
Octal 0o41261701
Hexadecimal 0x8563C1

Divisor Catalog (5 of 24)

1 5 17 25 67

Collatz Trajectory (150 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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