λ
Harmonic Matrix

802,218

2 × 3 × 19 × 31 × 227
Abundant Even Composite

802,218 has digital root 3. The neighboring primes are 802189 and 802231; its proper-divisor sum differs from the starting integer by 146,604.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 31 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,751,040
Proper Divisor Sum 948,822
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #802189 ← → #802231

Radix Representation

Decimal 802218
Binary 11000011110110101010 (20 bits)
Octal 0o3036652
Hexadecimal 0xC3DAA

Divisor Catalog (32)

Collatz Trajectory (69 steps to reach 1)

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

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