λ
Harmonic Matrix

6,146,010

2 × 33 × 5 × 13 × 17 × 103
Abundant Even Composite

6,146,010 has digital root 9. The neighboring primes are 6146003 and 6146011; its proper-divisor sum differs from the starting integer by 6,577,740.

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Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 17 × 103
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 18,869,760
Proper Divisor Sum 12,723,750
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6146003 ← → #6146011

Radix Representation

Decimal 6146010
Binary 10111011100011111011010 (23 bits)
Octal 0o27343732
Hexadecimal 0x5DC7DA

Divisor Catalog (5 of 128)

1 2 3 5 6

Collatz Trajectory (258 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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