λ
Harmonic Matrix

8,510,841

32 × 19 × 71 × 701
Deficient Odd Composite

8,510,841 has digital root 9. The neighboring primes are 8510839 and 8510849; its proper-divisor sum differs from the starting integer by -3,880,242.

Prime Factor Structure

Factorization String 3^2 × 19 × 71 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,141,440
Proper Divisor Sum 4,630,599
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8510839 ← → #8510849

Radix Representation

Decimal 8510841
Binary 100000011101110101111001 (24 bits)
Octal 0o40356571
Hexadecimal 0x81DD79

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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