λ
Harmonic Matrix

3,420,228

22 × 3 × 7 × 19 × 2143
Abundant Even Composite

3,420,228 has digital root 3. The neighboring primes are 3420227 and 3420239; its proper-divisor sum differs from the starting integer by 2,764,664.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19 × 2143
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,605,120
Proper Divisor Sum 6,184,892
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3420227 ← → #3420239

Radix Representation

Decimal 3420228
Binary 1101000011000001000100 (22 bits)
Octal 0o15030104
Hexadecimal 0x343044

Divisor Catalog (48)

Collatz Trajectory (102 steps to reach 1)

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

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