λ
Harmonic Matrix

3,223,194

2 × 3 × 13 × 312 × 43
Abundant Even Composite

3,223,194 has digital root 6. The neighboring primes are 3223189 and 3223201; its proper-divisor sum differs from the starting integer by 893,868.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 31^2 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,340,256
Proper Divisor Sum 4,117,062
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3223189 ← → #3223201

Radix Representation

Decimal 3223194
Binary 1100010010111010011010 (22 bits)
Octal 0o14227232
Hexadecimal 0x312E9A

Divisor Catalog (5 of 48)

1 2 3 6 13

Collatz Trajectory (239 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.

3,223,194 1,611,597 4,834,792 2,417,396 1,208,698

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