λ
Harmonic Matrix

442,218

2 × 3 × 7 × 10529
Abundant Even Composite

442,218 has digital root 3. The neighboring primes are 442217 and 442229; its proper-divisor sum differs from the starting integer by 126,444.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 10529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,010,880
Proper Divisor Sum 568,662
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #442217 ← → #442229

Radix Representation

Decimal 442218
Binary 1101011111101101010 (19 bits)
Octal 0o1537552
Hexadecimal 0x6BF6A

Divisor Catalog (5 of 16)

1 2 3 6 7

Collatz Trajectory (68 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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