λ
Harmonic Matrix

3,826,350

2 × 32 × 52 × 11 × 773
Abundant Even Composite

3,826,350 has digital root 9. The neighboring primes are 3826337 and 3826367; its proper-divisor sum differs from the starting integer by 3,576,492.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 11 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 11,229,192
Proper Divisor Sum 7,402,842
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3826337 ← → #3826367

Radix Representation

Decimal 3826350
Binary 1110100110001010101110 (22 bits)
Octal 0o16461256
Hexadecimal 0x3A62AE

Divisor Catalog (5 of 72)

1 2 3 5 6

Collatz Trajectory (123 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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