λ
Harmonic Matrix

6,012,222

2 × 3 × 29 × 109 × 317
Abundant Even Composite

6,012,222 has digital root 6. The neighboring primes are 6012211 and 6012229; its proper-divisor sum differs from the starting integer by 568,356.

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Prime Factor Structure

Factorization String 2 × 3 × 29 × 109 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,592,800
Proper Divisor Sum 6,580,578
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6012211 ← → #6012229

Radix Representation

Decimal 6012222
Binary 10110111011110100111110 (23 bits)
Octal 0o26736476
Hexadecimal 0x5BBD3E

Divisor Catalog (5 of 32)

1 2 3 6 29

Collatz Trajectory (121 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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