λ
Harmonic Matrix

8,010,387

33 × 7 × 11 × 3853
Deficient Odd Composite

8,010,387 has digital root 9. The neighboring primes are 8010361 and 8010391; its proper-divisor sum differs from the starting integer by -1,221,414.

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Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 3853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,799,360
Proper Divisor Sum 6,788,973
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8010361 ← → #8010391

Radix Representation

Decimal 8010387
Binary 11110100011101010010011 (23 bits)
Octal 0o36435223
Hexadecimal 0x7A3A93

Divisor Catalog (5 of 32)

1 3 7 9 11

Collatz Trajectory (98 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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