λ
Harmonic Matrix

8,171,350

2 × 52 × 11 × 83 × 179
Abundant Even Composite

8,171,350 has digital root 7. The neighboring primes are 8171347 and 8171399; its proper-divisor sum differs from the starting integer by 531,220.

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Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 83 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,873,920
Proper Divisor Sum 8,702,570
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8171347 ← → #8171399

Radix Representation

Decimal 8171350
Binary 11111001010111101010110 (23 bits)
Octal 0o37127526
Hexadecimal 0x7CAF56

Divisor Catalog (5 of 48)

1 2 5 10 11

Collatz Trajectory (336 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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