λ
Harmonic Matrix

3,277,278

2 × 32 × 163 × 1117
Abundant Even Composite

3,277,278 has digital root 9. The neighboring primes are 3277217 and 3277279; its proper-divisor sum differs from the starting integer by 596,172.

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Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,150,728
Proper Divisor Sum 3,873,450
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3277217 ← → #3277279

Radix Representation

Decimal 3277278
Binary 1100100000000111011110 (22 bits)
Octal 0o14400736
Hexadecimal 0x3201DE

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (89 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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