λ
Harmonic Matrix

6,889,722

2 × 3 × 7 × 41 × 4001
Abundant Even Composite

6,889,722 has digital root 6. The neighboring primes are 6889721 and 6889739; its proper-divisor sum differs from the starting integer by 2,356,620.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 4001
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,136,064
Proper Divisor Sum 9,246,342
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6889721 ← → #6889739

Radix Representation

Decimal 6889722
Binary 11010010010000011111010 (23 bits)
Octal 0o32220372
Hexadecimal 0x6920FA

Divisor Catalog (32)

Collatz Trajectory (116 steps to reach 1)

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

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